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Finding the Fourth Proportional to 284,442.32, 392,523.72 and 157,107.92

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Solution

The fourth proportional to 284,442.32, 392,523.72 and 157,107.92 is: 216,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,442.32 : 392,523.72 = 157,107.92 : x
  2. Step 2: Convert to fraction form
    284,442.32/392,523.72 = 157,107.92/x
  3. Step 3: Cross multiply
    284,442.32x = 392,523.72 × 157,107.92
  4. Step 4: Simplify right side
    284,442.32x = 61,668,585,199.86
  5. Step 5: Solve for x
    x = 61,668,585,199.86/284,442.32
  6. Step 6: Final answer
    x = 216,805.24

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