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Finding the Fourth Proportional to 225,415.92, 338,124 and 183,245.76

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Solution

The fourth proportional to 225,415.92, 338,124 and 183,245.76 is: 274,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,415.92 : 338,124 = 183,245.76 : x
  2. Step 2: Convert to fraction form
    225,415.92/338,124 = 183,245.76/x
  3. Step 3: Cross multiply
    225,415.92x = 338,124 × 183,245.76
  4. Step 4: Simplify right side
    225,415.92x = 61,959,789,354.24
  5. Step 5: Solve for x
    x = 61,959,789,354.24/225,415.92
  6. Step 6: Final answer
    x = 274,868.74

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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.