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Finding the Fourth Proportional to 275,302.56, 412,914.88 and 88,289.76

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Solution

The fourth proportional to 275,302.56, 412,914.88 and 88,289.76 is: 132,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,302.56 : 412,914.88 = 88,289.76 : x
  2. Step 2: Convert to fraction form
    275,302.56/412,914.88 = 88,289.76/x
  3. Step 3: Cross multiply
    275,302.56x = 412,914.88 × 88,289.76
  4. Step 4: Simplify right side
    275,302.56x = 36,456,155,655.63
  5. Step 5: Solve for x
    x = 36,456,155,655.63/275,302.56
  6. Step 6: Final answer
    x = 132,422.15

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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.