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Finding the Fourth Proportional to 153,761.37, 230,658.47 and 65,023.85

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Solution

The fourth proportional to 153,761.37, 230,658.47 and 65,023.85 is: 97,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,761.37 : 230,658.47 = 65,023.85 : x
  2. Step 2: Convert to fraction form
    153,761.37/230,658.47 = 65,023.85/x
  3. Step 3: Cross multiply
    153,761.37x = 230,658.47 × 65,023.85
  4. Step 4: Simplify right side
    153,761.37x = 14,998,300,276.10
  5. Step 5: Solve for x
    x = 14,998,300,276.10/153,761.37
  6. Step 6: Final answer
    x = 97,542.71

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1.5x scale

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.