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Finding the Fourth Proportional to 131,383.38, 181,299.47 and 77,658.02

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Solution

The fourth proportional to 131,383.38, 181,299.47 and 77,658.02 is: 107,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,383.38 : 181,299.47 = 77,658.02 : x
  2. Step 2: Convert to fraction form
    131,383.38/181,299.47 = 77,658.02/x
  3. Step 3: Cross multiply
    131,383.38x = 181,299.47 × 77,658.02
  4. Step 4: Simplify right side
    131,383.38x = 14,079,357,867.25
  5. Step 5: Solve for x
    x = 14,079,357,867.25/131,383.38
  6. Step 6: Final answer
    x = 107,162.40

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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.