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Finding the Fourth Proportional to 240,470.46, 360,767.16 and 140,714.46

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Solution

The fourth proportional to 240,470.46, 360,767.16 and 140,714.46 is: 211,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,470.46 : 360,767.16 = 140,714.46 : x
  2. Step 2: Convert to fraction form
    240,470.46/360,767.16 = 140,714.46/x
  3. Step 3: Cross multiply
    240,470.46x = 360,767.16 × 140,714.46
  4. Step 4: Simplify right side
    240,470.46x = 50,765,156,105.13
  5. Step 5: Solve for x
    x = 50,765,156,105.13/240,470.46
  6. Step 6: Final answer
    x = 211,107.66

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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.