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Finding the Fourth Proportional to 275,063.72, 412,459.49 and 97,544.12

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Solution

The fourth proportional to 275,063.72, 412,459.49 and 97,544.12 is: 146,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,063.72 : 412,459.49 = 97,544.12 : x
  2. Step 2: Convert to fraction form
    275,063.72/412,459.49 = 97,544.12/x
  3. Step 3: Cross multiply
    275,063.72x = 412,459.49 × 97,544.12
  4. Step 4: Simplify right side
    275,063.72x = 40,232,996,169.26
  5. Step 5: Solve for x
    x = 40,232,996,169.26/275,063.72
  6. Step 6: Final answer
    x = 146,267.92

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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.