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Finding the Fourth Proportional to 120,320.69, 166,041.92 and 65,877.80

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Solution

The fourth proportional to 120,320.69, 166,041.92 and 65,877.80 is: 90,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,320.69 : 166,041.92 = 65,877.80 : x
  2. Step 2: Convert to fraction form
    120,320.69/166,041.92 = 65,877.80/x
  3. Step 3: Cross multiply
    120,320.69x = 166,041.92 × 65,877.80
  4. Step 4: Simplify right side
    120,320.69x = 10,938,476,397.38
  5. Step 5: Solve for x
    x = 10,938,476,397.38/120,320.69
  6. Step 6: Final answer
    x = 90,911.02

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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.