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Finding the Fourth Proportional to 130,414.60, 195,621.90 and 83,758.60

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Solution

The fourth proportional to 130,414.60, 195,621.90 and 83,758.60 is: 125,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,414.60 : 195,621.90 = 83,758.60 : x
  2. Step 2: Convert to fraction form
    130,414.60/195,621.90 = 83,758.60/x
  3. Step 3: Cross multiply
    130,414.60x = 195,621.90 × 83,758.60
  4. Step 4: Simplify right side
    130,414.60x = 16,385,016,473.34
  5. Step 5: Solve for x
    x = 16,385,016,473.34/130,414.60
  6. Step 6: Final answer
    x = 125,637.90

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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.