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Finding the Fourth Proportional to 151,595.96, 209,190.80 and 83,615.49

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Solution

The fourth proportional to 151,595.96, 209,190.80 and 83,615.49 is: 115,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,595.96 : 209,190.80 = 83,615.49 : x
  2. Step 2: Convert to fraction form
    151,595.96/209,190.80 = 83,615.49/x
  3. Step 3: Cross multiply
    151,595.96x = 209,190.80 × 83,615.49
  4. Step 4: Simplify right side
    151,595.96x = 17,491,591,454.53
  5. Step 5: Solve for x
    x = 17,491,591,454.53/151,595.96
  6. Step 6: Final answer
    x = 115,382.97

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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.