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Finding the Fourth Proportional to 83,148.93, 115,499.47 and 81,861.13

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Solution

The fourth proportional to 83,148.93, 115,499.47 and 81,861.13 is: 113,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,148.93 : 115,499.47 = 81,861.13 : x
  2. Step 2: Convert to fraction form
    83,148.93/115,499.47 = 81,861.13/x
  3. Step 3: Cross multiply
    83,148.93x = 115,499.47 × 81,861.13
  4. Step 4: Simplify right side
    83,148.93x = 9,454,917,221.81
  5. Step 5: Solve for x
    x = 9,454,917,221.81/83,148.93
  6. Step 6: Final answer
    x = 113,710.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.