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Finding the Fourth Proportional to 137,209.60, 205,795.20 and 43,724.80

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Solution

The fourth proportional to 137,209.60, 205,795.20 and 43,724.80 is: 65,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,209.60 : 205,795.20 = 43,724.80 : x
  2. Step 2: Convert to fraction form
    137,209.60/205,795.20 = 43,724.80/x
  3. Step 3: Cross multiply
    137,209.60x = 205,795.20 × 43,724.80
  4. Step 4: Simplify right side
    137,209.60x = 8,998,353,960.96
  5. Step 5: Solve for x
    x = 8,998,353,960.96/137,209.60
  6. Step 6: Final answer
    x = 65,581.08

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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.