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Finding the Fourth Proportional to 225,963.46, 338,595.09 and 142,682.50

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Solution

The fourth proportional to 225,963.46, 338,595.09 and 142,682.50 is: 213,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,963.46 : 338,595.09 = 142,682.50 : x
  2. Step 2: Convert to fraction form
    225,963.46/338,595.09 = 142,682.50/x
  3. Step 3: Cross multiply
    225,963.46x = 338,595.09 × 142,682.50
  4. Step 4: Simplify right side
    225,963.46x = 48,311,593,928.93
  5. Step 5: Solve for x
    x = 48,311,593,928.93/225,963.46
  6. Step 6: Final answer
    x = 213,802.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.