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Finding the Fourth Proportional to 97,404.80, 146,107.20 and 55,414.40

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Solution

The fourth proportional to 97,404.80, 146,107.20 and 55,414.40 is: 83,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,404.80 : 146,107.20 = 55,414.40 : x
  2. Step 2: Convert to fraction form
    97,404.80/146,107.20 = 55,414.40/x
  3. Step 3: Cross multiply
    97,404.80x = 146,107.20 × 55,414.40
  4. Step 4: Simplify right side
    97,404.80x = 8,096,442,823.68
  5. Step 5: Solve for x
    x = 8,096,442,823.68/97,404.80
  6. Step 6: Final answer
    x = 83,121.60

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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.