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Finding the Fourth Proportional to 218,842.40, 328,263.60 and 71,098.40

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Solution

The fourth proportional to 218,842.40, 328,263.60 and 71,098.40 is: 106,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,842.40 : 328,263.60 = 71,098.40 : x
  2. Step 2: Convert to fraction form
    218,842.40/328,263.60 = 71,098.40/x
  3. Step 3: Cross multiply
    218,842.40x = 328,263.60 × 71,098.40
  4. Step 4: Simplify right side
    218,842.40x = 23,339,016,738.24
  5. Step 5: Solve for x
    x = 23,339,016,738.24/218,842.40
  6. Step 6: Final answer
    x = 106,647.60

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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.