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Finding the Fourth Proportional to 321,957.02, 482,826.17 and 111,545.84

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Solution

The fourth proportional to 321,957.02, 482,826.17 and 111,545.84 is: 167,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,957.02 : 482,826.17 = 111,545.84 : x
  2. Step 2: Convert to fraction form
    321,957.02/482,826.17 = 111,545.84/x
  3. Step 3: Cross multiply
    321,957.02x = 482,826.17 × 111,545.84
  4. Step 4: Simplify right side
    321,957.02x = 53,857,250,706.63
  5. Step 5: Solve for x
    x = 53,857,250,706.63/321,957.02
  6. Step 6: Final answer
    x = 167,280.87

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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.