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Finding the Fourth Proportional to 127,972.32, 176,618.88 and 77,672.16

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Solution

The fourth proportional to 127,972.32, 176,618.88 and 77,672.16 is: 107,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,972.32 : 176,618.88 = 77,672.16 : x
  2. Step 2: Convert to fraction form
    127,972.32/176,618.88 = 77,672.16/x
  3. Step 3: Cross multiply
    127,972.32x = 176,618.88 × 77,672.16
  4. Step 4: Simplify right side
    127,972.32x = 13,718,369,906.38
  5. Step 5: Solve for x
    x = 13,718,369,906.38/127,972.32
  6. Step 6: Final answer
    x = 107,197.95

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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.