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Finding the Fourth Proportional to 140,115.78, 193,359.78 and 89,814.78

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Solution

The fourth proportional to 140,115.78, 193,359.78 and 89,814.78 is: 123,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,115.78 : 193,359.78 = 89,814.78 : x
  2. Step 2: Convert to fraction form
    140,115.78/193,359.78 = 89,814.78/x
  3. Step 3: Cross multiply
    140,115.78x = 193,359.78 × 89,814.78
  4. Step 4: Simplify right side
    140,115.78x = 17,366,566,101.55
  5. Step 5: Solve for x
    x = 17,366,566,101.55/140,115.78
  6. Step 6: Final answer
    x = 123,944.40

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1.5x scale

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.