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Finding the Fourth Proportional to 186,758.93, 257,728.14 and 101,877.82

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Solution

The fourth proportional to 186,758.93, 257,728.14 and 101,877.82 is: 140,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,758.93 : 257,728.14 = 101,877.82 : x
  2. Step 2: Convert to fraction form
    186,758.93/257,728.14 = 101,877.82/x
  3. Step 3: Cross multiply
    186,758.93x = 257,728.14 × 101,877.82
  4. Step 4: Simplify right side
    186,758.93x = 26,256,780,411.53
  5. Step 5: Solve for x
    x = 26,256,780,411.53/186,758.93
  6. Step 6: Final answer
    x = 140,591.83

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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.