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Finding the Fourth Proportional to 137,445.60, 206,168.40 and 114,098.40

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Solution

The fourth proportional to 137,445.60, 206,168.40 and 114,098.40 is: 171,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,445.60 : 206,168.40 = 114,098.40 : x
  2. Step 2: Convert to fraction form
    137,445.60/206,168.40 = 114,098.40/x
  3. Step 3: Cross multiply
    137,445.60x = 206,168.40 × 114,098.40
  4. Step 4: Simplify right side
    137,445.60x = 23,523,484,570.56
  5. Step 5: Solve for x
    x = 23,523,484,570.56/137,445.60
  6. Step 6: Final answer
    x = 171,147.60

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1.5x scale

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.