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Finding the Fourth Proportional to 152,951.60, 211,036.28 and 89,253.04

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Solution

The fourth proportional to 152,951.60, 211,036.28 and 89,253.04 is: 123,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,951.60 : 211,036.28 = 89,253.04 : x
  2. Step 2: Convert to fraction form
    152,951.60/211,036.28 = 89,253.04/x
  3. Step 3: Cross multiply
    152,951.60x = 211,036.28 × 89,253.04
  4. Step 4: Simplify right side
    152,951.60x = 18,835,629,540.29
  5. Step 5: Solve for x
    x = 18,835,629,540.29/152,951.60
  6. Step 6: Final answer
    x = 123,147.65

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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.