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Finding the Fourth Proportional to 399,161.07, 599,046.17 and 146,680.83

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Solution

The fourth proportional to 399,161.07, 599,046.17 and 146,680.83 is: 220,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,161.07 : 599,046.17 = 146,680.83 : x
  2. Step 2: Convert to fraction form
    399,161.07/599,046.17 = 146,680.83/x
  3. Step 3: Cross multiply
    399,161.07x = 599,046.17 × 146,680.83
  4. Step 4: Simplify right side
    399,161.07x = 87,868,588,690.52
  5. Step 5: Solve for x
    x = 87,868,588,690.52/399,161.07
  6. Step 6: Final answer
    x = 220,133.16

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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.