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Finding the Fourth Proportional to 119,510.52, 179,251.14 and 30,764.46

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Solution

The fourth proportional to 119,510.52, 179,251.14 and 30,764.46 is: 46,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,510.52 : 179,251.14 = 30,764.46 : x
  2. Step 2: Convert to fraction form
    119,510.52/179,251.14 = 30,764.46/x
  3. Step 3: Cross multiply
    119,510.52x = 179,251.14 × 30,764.46
  4. Step 4: Simplify right side
    119,510.52x = 5,514,564,526.48
  5. Step 5: Solve for x
    x = 5,514,564,526.48/119,510.52
  6. Step 6: Final answer
    x = 46,142.92

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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.