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Finding the Fourth Proportional to 218,063.80, 327,095.70 and 202,317.40

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Solution

The fourth proportional to 218,063.80, 327,095.70 and 202,317.40 is: 303,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,063.80 : 327,095.70 = 202,317.40 : x
  2. Step 2: Convert to fraction form
    218,063.80/327,095.70 = 202,317.40/x
  3. Step 3: Cross multiply
    218,063.80x = 327,095.70 × 202,317.40
  4. Step 4: Simplify right side
    218,063.80x = 66,177,151,575.18
  5. Step 5: Solve for x
    x = 66,177,151,575.18/218,063.80
  6. Step 6: Final answer
    x = 303,476.10

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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.