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Finding the Fourth Proportional to 217,172.50, 325,678.86 and 74,981.65

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Solution

The fourth proportional to 217,172.50, 325,678.86 and 74,981.65 is: 112,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,172.50 : 325,678.86 = 74,981.65 : x
  2. Step 2: Convert to fraction form
    217,172.50/325,678.86 = 74,981.65/x
  3. Step 3: Cross multiply
    217,172.50x = 325,678.86 × 74,981.65
  4. Step 4: Simplify right side
    217,172.50x = 24,419,938,292.92
  5. Step 5: Solve for x
    x = 24,419,938,292.92/217,172.50
  6. Step 6: Final answer
    x = 112,444.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.