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Finding the Fourth Proportional to 216,040.80, 324,061.20 and 75,784.80

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Solution

The fourth proportional to 216,040.80, 324,061.20 and 75,784.80 is: 113,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,040.80 : 324,061.20 = 75,784.80 : x
  2. Step 2: Convert to fraction form
    216,040.80/324,061.20 = 75,784.80/x
  3. Step 3: Cross multiply
    216,040.80x = 324,061.20 × 75,784.80
  4. Step 4: Simplify right side
    216,040.80x = 24,558,913,229.76
  5. Step 5: Solve for x
    x = 24,558,913,229.76/216,040.80
  6. Step 6: Final answer
    x = 113,677.20

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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.