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Finding the Fourth Proportional to 316,510.52, 474,765.77 and 106,147.85

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Solution

The fourth proportional to 316,510.52, 474,765.77 and 106,147.85 is: 159,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,510.52 : 474,765.77 = 106,147.85 : x
  2. Step 2: Convert to fraction form
    316,510.52/474,765.77 = 106,147.85/x
  3. Step 3: Cross multiply
    316,510.52x = 474,765.77 × 106,147.85
  4. Step 4: Simplify right side
    316,510.52x = 50,395,363,630.64
  5. Step 5: Solve for x
    x = 50,395,363,630.64/316,510.52
  6. Step 6: Final answer
    x = 159,221.77

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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.