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Finding the Fourth Proportional to 119,761.34, 179,658.41 and 40,854.38

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Solution

The fourth proportional to 119,761.34, 179,658.41 and 40,854.38 is: 61,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,761.34 : 179,658.41 = 40,854.38 : x
  2. Step 2: Convert to fraction form
    119,761.34/179,658.41 = 40,854.38/x
  3. Step 3: Cross multiply
    119,761.34x = 179,658.41 × 40,854.38
  4. Step 4: Simplify right side
    119,761.34x = 7,339,831,849.77
  5. Step 5: Solve for x
    x = 7,339,831,849.77/119,761.34
  6. Step 6: Final answer
    x = 61,287.16

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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.