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Finding the Fourth Proportional to 218,225.65, 327,039.87 and 164,873.78

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Solution

The fourth proportional to 218,225.65, 327,039.87 and 164,873.78 is: 247,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,225.65 : 327,039.87 = 164,873.78 : x
  2. Step 2: Convert to fraction form
    218,225.65/327,039.87 = 164,873.78/x
  3. Step 3: Cross multiply
    218,225.65x = 327,039.87 × 164,873.78
  4. Step 4: Simplify right side
    218,225.65x = 53,920,299,577.61
  5. Step 5: Solve for x
    x = 53,920,299,577.61/218,225.65
  6. Step 6: Final answer
    x = 247,085.07

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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.