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Finding the Fourth Proportional to 309,038.73, 463,753.11 and 131,545.46

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Solution

The fourth proportional to 309,038.73, 463,753.11 and 131,545.46 is: 197,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,038.73 : 463,753.11 = 131,545.46 : x
  2. Step 2: Convert to fraction form
    309,038.73/463,753.11 = 131,545.46/x
  3. Step 3: Cross multiply
    309,038.73x = 463,753.11 × 131,545.46
  4. Step 4: Simplify right side
    309,038.73x = 61,004,613,862.62
  5. Step 5: Solve for x
    x = 61,004,613,862.62/309,038.73
  6. Step 6: Final answer
    x = 197,401.19

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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.