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Finding the Fourth Proportional to 225,776, 338,620.60 and 113,426.12

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Solution

The fourth proportional to 225,776, 338,620.60 and 113,426.12 is: 170,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,776 : 338,620.60 = 113,426.12 : x
  2. Step 2: Convert to fraction form
    225,776/338,620.60 = 113,426.12/x
  3. Step 3: Cross multiply
    225,776x = 338,620.60 × 113,426.12
  4. Step 4: Simplify right side
    225,776x = 38,408,420,810.07
  5. Step 5: Solve for x
    x = 38,408,420,810.07/225,776
  6. Step 6: Final answer
    x = 170,117.38

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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.