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Finding the Fourth Proportional to 111,472.26, 167,235.74 and 52,238.90

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Solution

The fourth proportional to 111,472.26, 167,235.74 and 52,238.90 is: 78,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,472.26 : 167,235.74 = 52,238.90 : x
  2. Step 2: Convert to fraction form
    111,472.26/167,235.74 = 52,238.90/x
  3. Step 3: Cross multiply
    111,472.26x = 167,235.74 × 52,238.90
  4. Step 4: Simplify right side
    111,472.26x = 8,736,210,000.91
  5. Step 5: Solve for x
    x = 8,736,210,000.91/111,472.26
  6. Step 6: Final answer
    x = 78,371.16

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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.