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Finding the Fourth Proportional to 149,026.78, 223,540.14 and 38,218.78

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Solution

The fourth proportional to 149,026.78, 223,540.14 and 38,218.78 is: 57,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,026.78 : 223,540.14 = 38,218.78 : x
  2. Step 2: Convert to fraction form
    149,026.78/223,540.14 = 38,218.78/x
  3. Step 3: Cross multiply
    149,026.78x = 223,540.14 × 38,218.78
  4. Step 4: Simplify right side
    149,026.78x = 8,543,431,431.83
  5. Step 5: Solve for x
    x = 8,543,431,431.83/149,026.78
  6. Step 6: Final answer
    x = 57,328.16

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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.