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Finding the Fourth Proportional to 137,109.20, 205,433.40 and 66,837.20

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Solution

The fourth proportional to 137,109.20, 205,433.40 and 66,837.20 is: 100,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,109.20 : 205,433.40 = 66,837.20 : x
  2. Step 2: Convert to fraction form
    137,109.20/205,433.40 = 66,837.20/x
  3. Step 3: Cross multiply
    137,109.20x = 205,433.40 × 66,837.20
  4. Step 4: Simplify right side
    137,109.20x = 13,730,593,242.48
  5. Step 5: Solve for x
    x = 13,730,593,242.48/137,109.20
  6. Step 6: Final answer
    x = 100,143.49

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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.