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Finding the Fourth Proportional to 233,162.76, 349,706.88 and 83,375.16

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Solution

The fourth proportional to 233,162.76, 349,706.88 and 83,375.16 is: 125,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,162.76 : 349,706.88 = 83,375.16 : x
  2. Step 2: Convert to fraction form
    233,162.76/349,706.88 = 83,375.16/x
  3. Step 3: Cross multiply
    233,162.76x = 349,706.88 × 83,375.16
  4. Step 4: Simplify right side
    233,162.76x = 29,156,867,073.10
  5. Step 5: Solve for x
    x = 29,156,867,073.10/233,162.76
  6. Step 6: Final answer
    x = 125,049.42

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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.