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Finding the Fourth Proportional to 255,432.96, 352,443.56 and 147,996.45

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Solution

The fourth proportional to 255,432.96, 352,443.56 and 147,996.45 is: 204,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,432.96 : 352,443.56 = 147,996.45 : x
  2. Step 2: Convert to fraction form
    255,432.96/352,443.56 = 147,996.45/x
  3. Step 3: Cross multiply
    255,432.96x = 352,443.56 × 147,996.45
  4. Step 4: Simplify right side
    255,432.96x = 52,160,394,965.38
  5. Step 5: Solve for x
    x = 52,160,394,965.38/255,432.96
  6. Step 6: Final answer
    x = 204,203.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.