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Finding the Fourth Proportional to 104,020.10, 156,030.15 and 97,459.10

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Solution

The fourth proportional to 104,020.10, 156,030.15 and 97,459.10 is: 146,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,020.10 : 156,030.15 = 97,459.10 : x
  2. Step 2: Convert to fraction form
    104,020.10/156,030.15 = 97,459.10/x
  3. Step 3: Cross multiply
    104,020.10x = 156,030.15 × 97,459.10
  4. Step 4: Simplify right side
    104,020.10x = 15,206,557,991.87
  5. Step 5: Solve for x
    x = 15,206,557,991.87/104,020.10
  6. Step 6: Final answer
    x = 146,188.65

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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.