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Finding the Fourth Proportional to 284,499.11, 392,575.33 and 157,167.11

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Solution

The fourth proportional to 284,499.11, 392,575.33 and 157,167.11 is: 216,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,499.11 : 392,575.33 = 157,167.11 : x
  2. Step 2: Convert to fraction form
    284,499.11/392,575.33 = 157,167.11/x
  3. Step 3: Cross multiply
    284,499.11x = 392,575.33 × 157,167.11
  4. Step 4: Simplify right side
    284,499.11x = 61,699,930,073.40
  5. Step 5: Solve for x
    x = 61,699,930,073.40/284,499.11
  6. Step 6: Final answer
    x = 216,872.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.