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Finding the Fourth Proportional to 100,833.42, 151,250.13 and 37,658.49

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Solution

The fourth proportional to 100,833.42, 151,250.13 and 37,658.49 is: 56,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,833.42 : 151,250.13 = 37,658.49 : x
  2. Step 2: Convert to fraction form
    100,833.42/151,250.13 = 37,658.49/x
  3. Step 3: Cross multiply
    100,833.42x = 151,250.13 × 37,658.49
  4. Step 4: Simplify right side
    100,833.42x = 5,695,851,508.10
  5. Step 5: Solve for x
    x = 5,695,851,508.10/100,833.42
  6. Step 6: Final answer
    x = 56,487.74

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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.