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Finding the Fourth Proportional to 177,871.86, 266,807.79 and 84,326.58

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Solution

The fourth proportional to 177,871.86, 266,807.79 and 84,326.58 is: 126,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,871.86 : 266,807.79 = 84,326.58 : x
  2. Step 2: Convert to fraction form
    177,871.86/266,807.79 = 84,326.58/x
  3. Step 3: Cross multiply
    177,871.86x = 266,807.79 × 84,326.58
  4. Step 4: Simplify right side
    177,871.86x = 22,498,988,448.06
  5. Step 5: Solve for x
    x = 22,498,988,448.06/177,871.86
  6. Step 6: Final answer
    x = 126,489.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.