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Finding the Fourth Proportional to 137,742, 206,593.60 and 44,235.60

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Solution

The fourth proportional to 137,742, 206,593.60 and 44,235.60 is: 66,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,742 : 206,593.60 = 44,235.60 : x
  2. Step 2: Convert to fraction form
    137,742/206,593.60 = 44,235.60/x
  3. Step 3: Cross multiply
    137,742x = 206,593.60 × 44,235.60
  4. Step 4: Simplify right side
    137,742x = 9,138,791,852.16
  5. Step 5: Solve for x
    x = 9,138,791,852.16/137,742
  6. Step 6: Final answer
    x = 66,347.17

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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.