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Finding the Fourth Proportional to 96,280.56, 144,491.78 and 45,679.77

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Solution

The fourth proportional to 96,280.56, 144,491.78 and 45,679.77 is: 68,553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,280.56 : 144,491.78 = 45,679.77 : x
  2. Step 2: Convert to fraction form
    96,280.56/144,491.78 = 45,679.77/x
  3. Step 3: Cross multiply
    96,280.56x = 144,491.78 × 45,679.77
  4. Step 4: Simplify right side
    96,280.56x = 6,600,351,277.29
  5. Step 5: Solve for x
    x = 6,600,351,277.29/96,280.56
  6. Step 6: Final answer
    x = 68,553.31

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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.