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Finding the Fourth Proportional to 308,171.67, 462,257.51 and 83,532.15

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Solution

The fourth proportional to 308,171.67, 462,257.51 and 83,532.15 is: 125,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,171.67 : 462,257.51 = 83,532.15 : x
  2. Step 2: Convert to fraction form
    308,171.67/462,257.51 = 83,532.15/x
  3. Step 3: Cross multiply
    308,171.67x = 462,257.51 × 83,532.15
  4. Step 4: Simplify right side
    308,171.67x = 38,613,363,246.29
  5. Step 5: Solve for x
    x = 38,613,363,246.29/308,171.67
  6. Step 6: Final answer
    x = 125,298.23

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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.