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Finding the Fourth Proportional to 104,038,647.40, 156,057,971.10 and 97,661,355.40

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Solution

The fourth proportional to 104,038,647.40, 156,057,971.10 and 97,661,355.40 is: 146,492,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,038,647.40 : 156,057,971.10 = 97,661,355.40 : x
  2. Step 2: Convert to fraction form
    104,038,647.40/156,057,971.10 = 97,661,355.40/x
  3. Step 3: Cross multiply
    104,038,647.40x = 156,057,971.10 × 97,661,355.40
  4. Step 4: Simplify right side
    104,038,647.40x = 15,240,832,978,600,030
  5. Step 5: Solve for x
    x = 15,240,832,978,600,030/104,038,647.40
  6. Step 6: Final answer
    x = 146,492,033.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.