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Finding the Fourth Proportional to 137,233.60, 205,850.40 and 43,748.80

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Solution

The fourth proportional to 137,233.60, 205,850.40 and 43,748.80 is: 65,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,233.60 : 205,850.40 = 43,748.80 : x
  2. Step 2: Convert to fraction form
    137,233.60/205,850.40 = 43,748.80/x
  3. Step 3: Cross multiply
    137,233.60x = 205,850.40 × 43,748.80
  4. Step 4: Simplify right side
    137,233.60x = 9,005,707,979.52
  5. Step 5: Solve for x
    x = 9,005,707,979.52/137,233.60
  6. Step 6: Final answer
    x = 65,623.20

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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.