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Finding the Fourth Proportional to 284,154.24, 392,117.52 and 176,721.24

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Solution

The fourth proportional to 284,154.24, 392,117.52 and 176,721.24 is: 243,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,154.24 : 392,117.52 = 176,721.24 : x
  2. Step 2: Convert to fraction form
    284,154.24/392,117.52 = 176,721.24/x
  3. Step 3: Cross multiply
    284,154.24x = 392,117.52 × 176,721.24
  4. Step 4: Simplify right side
    284,154.24x = 69,295,494,360.12
  5. Step 5: Solve for x
    x = 69,295,494,360.12/284,154.24
  6. Step 6: Final answer
    x = 243,865.78

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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.