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Finding the Fourth Proportional to 132,067.81, 182,225.55 and 78,370.30

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Solution

The fourth proportional to 132,067.81, 182,225.55 and 78,370.30 is: 108,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,067.81 : 182,225.55 = 78,370.30 : x
  2. Step 2: Convert to fraction form
    132,067.81/182,225.55 = 78,370.30/x
  3. Step 3: Cross multiply
    132,067.81x = 182,225.55 × 78,370.30
  4. Step 4: Simplify right side
    132,067.81x = 14,281,071,021.17
  5. Step 5: Solve for x
    x = 14,281,071,021.17/132,067.81
  6. Step 6: Final answer
    x = 108,134.38

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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.