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Finding the Fourth Proportional to 146,897.80, 220,419.60 and 83,766.40

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Solution

The fourth proportional to 146,897.80, 220,419.60 and 83,766.40 is: 125,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,897.80 : 220,419.60 = 83,766.40 : x
  2. Step 2: Convert to fraction form
    146,897.80/220,419.60 = 83,766.40/x
  3. Step 3: Cross multiply
    146,897.80x = 220,419.60 × 83,766.40
  4. Step 4: Simplify right side
    146,897.80x = 18,463,756,381.44
  5. Step 5: Solve for x
    x = 18,463,756,381.44/146,897.80
  6. Step 6: Final answer
    x = 125,691.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.