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Finding the Fourth Proportional to 224,862.52, 309,783.36 and 156,755.74

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Solution

The fourth proportional to 224,862.52, 309,783.36 and 156,755.74 is: 215,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,862.52 : 309,783.36 = 156,755.74 : x
  2. Step 2: Convert to fraction form
    224,862.52/309,783.36 = 156,755.74/x
  3. Step 3: Cross multiply
    224,862.52x = 309,783.36 × 156,755.74
  4. Step 4: Simplify right side
    224,862.52x = 48,560,319,836.49
  5. Step 5: Solve for x
    x = 48,560,319,836.49/224,862.52
  6. Step 6: Final answer
    x = 215,955.60

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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.