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Finding the Fourth Proportional to 218,335.80, 327,752.81 and 146,342.16

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Solution

The fourth proportional to 218,335.80, 327,752.81 and 146,342.16 is: 219,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,335.80 : 327,752.81 = 146,342.16 : x
  2. Step 2: Convert to fraction form
    218,335.80/327,752.81 = 146,342.16/x
  3. Step 3: Cross multiply
    218,335.80x = 327,752.81 × 146,342.16
  4. Step 4: Simplify right side
    218,335.80x = 47,964,054,161.47
  5. Step 5: Solve for x
    x = 47,964,054,161.47/218,335.80
  6. Step 6: Final answer
    x = 219,680.21

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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.