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Finding the Fourth Proportional to 225,402.65, 338,269.50 and 181,558.77

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Solution

The fourth proportional to 225,402.65, 338,269.50 and 181,558.77 is: 272,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,402.65 : 338,269.50 = 181,558.77 : x
  2. Step 2: Convert to fraction form
    225,402.65/338,269.50 = 181,558.77/x
  3. Step 3: Cross multiply
    225,402.65x = 338,269.50 × 181,558.77
  4. Step 4: Simplify right side
    225,402.65x = 61,415,793,080.00
  5. Step 5: Solve for x
    x = 61,415,793,080.00/225,402.65
  6. Step 6: Final answer
    x = 272,471.48

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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.