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Finding the Fourth Proportional to 140,306.39, 193,686.53 and 89,388.93

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Solution

The fourth proportional to 140,306.39, 193,686.53 and 89,388.93 is: 123,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,306.39 : 193,686.53 = 89,388.93 : x
  2. Step 2: Convert to fraction form
    140,306.39/193,686.53 = 89,388.93/x
  3. Step 3: Cross multiply
    140,306.39x = 193,686.53 × 89,388.93
  4. Step 4: Simplify right side
    140,306.39x = 17,313,431,225.17
  5. Step 5: Solve for x
    x = 17,313,431,225.17/140,306.39
  6. Step 6: Final answer
    x = 123,397.32

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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.