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Finding the Fourth Proportional to 218,083.30, 327,124.54 and 68,335.06

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Solution

The fourth proportional to 218,083.30, 327,124.54 and 68,335.06 is: 102,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,083.30 : 327,124.54 = 68,335.06 : x
  2. Step 2: Convert to fraction form
    218,083.30/327,124.54 = 68,335.06/x
  3. Step 3: Cross multiply
    218,083.30x = 327,124.54 × 68,335.06
  4. Step 4: Simplify right side
    218,083.30x = 22,354,073,091.07
  5. Step 5: Solve for x
    x = 22,354,073,091.07/218,083.30
  6. Step 6: Final answer
    x = 102,502.45

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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.