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Finding the Fourth Proportional to 232,008.40, 347,990.10 and 74,194.48

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Solution

The fourth proportional to 232,008.40, 347,990.10 and 74,194.48 is: 111,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,008.40 : 347,990.10 = 74,194.48 : x
  2. Step 2: Convert to fraction form
    232,008.40/347,990.10 = 74,194.48/x
  3. Step 3: Cross multiply
    232,008.40x = 347,990.10 × 74,194.48
  4. Step 4: Simplify right side
    232,008.40x = 25,818,944,514.65
  5. Step 5: Solve for x
    x = 25,818,944,514.65/232,008.40
  6. Step 6: Final answer
    x = 111,284.52

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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.