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Finding the Fourth Proportional to 284,512.14, 392,634.72 and 157,195.98

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Solution

The fourth proportional to 284,512.14, 392,634.72 and 157,195.98 is: 216,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,512.14 : 392,634.72 = 157,195.98 : x
  2. Step 2: Convert to fraction form
    284,512.14/392,634.72 = 157,195.98/x
  3. Step 3: Cross multiply
    284,512.14x = 392,634.72 × 157,195.98
  4. Step 4: Simplify right side
    284,512.14x = 61,720,599,592.43
  5. Step 5: Solve for x
    x = 61,720,599,592.43/284,512.14
  6. Step 6: Final answer
    x = 216,934.85

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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.