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Finding the Fourth Proportional to 137,265.60, 205,801.20 and 52,993.20

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Solution

The fourth proportional to 137,265.60, 205,801.20 and 52,993.20 is: 79,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,265.60 : 205,801.20 = 52,993.20 : x
  2. Step 2: Convert to fraction form
    137,265.60/205,801.20 = 52,993.20/x
  3. Step 3: Cross multiply
    137,265.60x = 205,801.20 × 52,993.20
  4. Step 4: Simplify right side
    137,265.60x = 10,906,064,151.84
  5. Step 5: Solve for x
    x = 10,906,064,151.84/137,265.60
  6. Step 6: Final answer
    x = 79,452.27

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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.