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Finding the Fourth Proportional to 225,830.64, 338,932.32 and 113,542.77

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Solution

The fourth proportional to 225,830.64, 338,932.32 and 113,542.77 is: 170,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,830.64 : 338,932.32 = 113,542.77 : x
  2. Step 2: Convert to fraction form
    225,830.64/338,932.32 = 113,542.77/x
  3. Step 3: Cross multiply
    225,830.64x = 338,932.32 × 113,542.77
  4. Step 4: Simplify right side
    225,830.64x = 38,483,312,760.66
  5. Step 5: Solve for x
    x = 38,483,312,760.66/225,830.64
  6. Step 6: Final answer
    x = 170,407.85

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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.