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Finding the Fourth Proportional to 296,200.50, 408,753.99 and 167,139.87

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Solution

The fourth proportional to 296,200.50, 408,753.99 and 167,139.87 is: 230,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,200.50 : 408,753.99 = 167,139.87 : x
  2. Step 2: Convert to fraction form
    296,200.50/408,753.99 = 167,139.87/x
  3. Step 3: Cross multiply
    296,200.50x = 408,753.99 × 167,139.87
  4. Step 4: Simplify right side
    296,200.50x = 68,319,088,750.58
  5. Step 5: Solve for x
    x = 68,319,088,750.58/296,200.50
  6. Step 6: Final answer
    x = 230,651.50

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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.