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Finding the Fourth Proportional to 82,141.74, 113,347.11 and 60,642.93

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Solution

The fourth proportional to 82,141.74, 113,347.11 and 60,642.93 is: 83,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,141.74 : 113,347.11 = 60,642.93 : x
  2. Step 2: Convert to fraction form
    82,141.74/113,347.11 = 60,642.93/x
  3. Step 3: Cross multiply
    82,141.74x = 113,347.11 × 60,642.93
  4. Step 4: Simplify right side
    82,141.74x = 6,873,700,857.43
  5. Step 5: Solve for x
    x = 6,873,700,857.43/82,141.74
  6. Step 6: Final answer
    x = 83,680.97

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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.