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Finding the Fourth Proportional to 137,641.60, 206,462.40 and 75,433.60

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Solution

The fourth proportional to 137,641.60, 206,462.40 and 75,433.60 is: 113,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,641.60 : 206,462.40 = 75,433.60 : x
  2. Step 2: Convert to fraction form
    137,641.60/206,462.40 = 75,433.60/x
  3. Step 3: Cross multiply
    137,641.60x = 206,462.40 × 75,433.60
  4. Step 4: Simplify right side
    137,641.60x = 15,574,202,096.64
  5. Step 5: Solve for x
    x = 15,574,202,096.64/137,641.60
  6. Step 6: Final answer
    x = 113,150.40

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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.