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Finding the Fourth Proportional to 76,153.20, 114,217.20 and 25,551.60

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Solution

The fourth proportional to 76,153.20, 114,217.20 and 25,551.60 is: 38,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,153.20 : 114,217.20 = 25,551.60 : x
  2. Step 2: Convert to fraction form
    76,153.20/114,217.20 = 25,551.60/x
  3. Step 3: Cross multiply
    76,153.20x = 114,217.20 × 25,551.60
  4. Step 4: Simplify right side
    76,153.20x = 2,918,432,207.52
  5. Step 5: Solve for x
    x = 2,918,432,207.52/76,153.20
  6. Step 6: Final answer
    x = 38,323.17

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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.