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Finding the Fourth Proportional to 140,212.38, 193,515.30 and 89,171.90

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Solution

The fourth proportional to 140,212.38, 193,515.30 and 89,171.90 is: 123,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,212.38 : 193,515.30 = 89,171.90 : x
  2. Step 2: Convert to fraction form
    140,212.38/193,515.30 = 89,171.90/x
  3. Step 3: Cross multiply
    140,212.38x = 193,515.30 × 89,171.90
  4. Step 4: Simplify right side
    140,212.38x = 17,256,126,980.07
  5. Step 5: Solve for x
    x = 17,256,126,980.07/140,212.38
  6. Step 6: Final answer
    x = 123,071.35

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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.