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Finding the Fourth Proportional to 225,733.76, 338,596.88 and 54,957.28

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Solution

The fourth proportional to 225,733.76, 338,596.88 and 54,957.28 is: 82,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,733.76 : 338,596.88 = 54,957.28 : x
  2. Step 2: Convert to fraction form
    225,733.76/338,596.88 = 54,957.28/x
  3. Step 3: Cross multiply
    225,733.76x = 338,596.88 × 54,957.28
  4. Step 4: Simplify right side
    225,733.76x = 18,608,363,541.29
  5. Step 5: Solve for x
    x = 18,608,363,541.29/225,733.76
  6. Step 6: Final answer
    x = 82,435.00

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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.