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Finding the Fourth Proportional to 120,931.38, 166,884.33 and 65,740.35

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Solution

The fourth proportional to 120,931.38, 166,884.33 and 65,740.35 is: 90,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,931.38 : 166,884.33 = 65,740.35 : x
  2. Step 2: Convert to fraction form
    120,931.38/166,884.33 = 65,740.35/x
  3. Step 3: Cross multiply
    120,931.38x = 166,884.33 × 65,740.35
  4. Step 4: Simplify right side
    120,931.38x = 10,971,034,112.01
  5. Step 5: Solve for x
    x = 10,971,034,112.01/120,931.38
  6. Step 6: Final answer
    x = 90,721.15

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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.