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Finding the Fourth Proportional to 216,584.76, 324,658.98 and 90,294.90

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Solution

The fourth proportional to 216,584.76, 324,658.98 and 90,294.90 is: 135,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,584.76 : 324,658.98 = 90,294.90 : x
  2. Step 2: Convert to fraction form
    216,584.76/324,658.98 = 90,294.90/x
  3. Step 3: Cross multiply
    216,584.76x = 324,658.98 × 90,294.90
  4. Step 4: Simplify right side
    216,584.76x = 29,315,050,133.20
  5. Step 5: Solve for x
    x = 29,315,050,133.20/216,584.76
  6. Step 6: Final answer
    x = 135,351.40

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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.