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Finding the Fourth Proportional to 137,226.60, 205,839.90 and 38,730.60

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Solution

The fourth proportional to 137,226.60, 205,839.90 and 38,730.60 is: 58,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,226.60 : 205,839.90 = 38,730.60 : x
  2. Step 2: Convert to fraction form
    137,226.60/205,839.90 = 38,730.60/x
  3. Step 3: Cross multiply
    137,226.60x = 205,839.90 × 38,730.60
  4. Step 4: Simplify right side
    137,226.60x = 7,972,302,830.94
  5. Step 5: Solve for x
    x = 7,972,302,830.94/137,226.60
  6. Step 6: Final answer
    x = 58,095.90

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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.