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Finding the Fourth Proportional to 207,755.43, 286,702.49 and 112,262.12

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Solution

The fourth proportional to 207,755.43, 286,702.49 and 112,262.12 is: 154,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,755.43 : 286,702.49 = 112,262.12 : x
  2. Step 2: Convert to fraction form
    207,755.43/286,702.49 = 112,262.12/x
  3. Step 3: Cross multiply
    207,755.43x = 286,702.49 × 112,262.12
  4. Step 4: Simplify right side
    207,755.43x = 32,185,829,772.78
  5. Step 5: Solve for x
    x = 32,185,829,772.78/207,755.43
  6. Step 6: Final answer
    x = 154,921.73

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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.