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Finding the Fourth Proportional to 150,956.29, 208,287.88 and 83,886.85

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Solution

The fourth proportional to 150,956.29, 208,287.88 and 83,886.85 is: 115,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,956.29 : 208,287.88 = 83,886.85 : x
  2. Step 2: Convert to fraction form
    150,956.29/208,287.88 = 83,886.85/x
  3. Step 3: Cross multiply
    150,956.29x = 208,287.88 × 83,886.85
  4. Step 4: Simplify right side
    150,956.29x = 17,472,614,146.38
  5. Step 5: Solve for x
    x = 17,472,614,146.38/150,956.29
  6. Step 6: Final answer
    x = 115,746.18

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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.