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Finding the Fourth Proportional to 284,237.38, 392,237.22 and 156,910.24

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Solution

The fourth proportional to 284,237.38, 392,237.22 and 156,910.24 is: 216,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,237.38 : 392,237.22 = 156,910.24 : x
  2. Step 2: Convert to fraction form
    284,237.38/392,237.22 = 156,910.24/x
  3. Step 3: Cross multiply
    284,237.38x = 392,237.22 × 156,910.24
  4. Step 4: Simplify right side
    284,237.38x = 61,546,036,327.13
  5. Step 5: Solve for x
    x = 61,546,036,327.13/284,237.38
  6. Step 6: Final answer
    x = 216,530.41

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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.