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Finding the Fourth Proportional to 118,096.20, 177,349.10 and 83,280.20

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Solution

The fourth proportional to 118,096.20, 177,349.10 and 83,280.20 is: 125,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,096.20 : 177,349.10 = 83,280.20 : x
  2. Step 2: Convert to fraction form
    118,096.20/177,349.10 = 83,280.20/x
  3. Step 3: Cross multiply
    118,096.20x = 177,349.10 × 83,280.20
  4. Step 4: Simplify right side
    118,096.20x = 14,769,668,517.82
  5. Step 5: Solve for x
    x = 14,769,668,517.82/118,096.20
  6. Step 6: Final answer
    x = 125,064.72

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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.