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Finding the Fourth Proportional to 140,882.96, 194,262.36 and 89,814.80

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Solution

The fourth proportional to 140,882.96, 194,262.36 and 89,814.80 is: 123,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,882.96 : 194,262.36 = 89,814.80 : x
  2. Step 2: Convert to fraction form
    140,882.96/194,262.36 = 89,814.80/x
  3. Step 3: Cross multiply
    140,882.96x = 194,262.36 × 89,814.80
  4. Step 4: Simplify right side
    140,882.96x = 17,447,635,010.93
  5. Step 5: Solve for x
    x = 17,447,635,010.93/140,882.96
  6. Step 6: Final answer
    x = 123,844.89

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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.