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Finding the Fourth Proportional to 151,109.67, 208,523.15 and 83,115.68

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Solution

The fourth proportional to 151,109.67, 208,523.15 and 83,115.68 is: 114,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,109.67 : 208,523.15 = 83,115.68 : x
  2. Step 2: Convert to fraction form
    151,109.67/208,523.15 = 83,115.68/x
  3. Step 3: Cross multiply
    151,109.67x = 208,523.15 × 83,115.68
  4. Step 4: Simplify right side
    151,109.67x = 17,331,541,949.80
  5. Step 5: Solve for x
    x = 17,331,541,949.80/151,109.67
  6. Step 6: Final answer
    x = 114,695.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.