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Finding the Fourth Proportional to 176,084.40, 263,721.60 and 144,591.60

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Solution

The fourth proportional to 176,084.40, 263,721.60 and 144,591.60 is: 216,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,084.40 : 263,721.60 = 144,591.60 : x
  2. Step 2: Convert to fraction form
    176,084.40/263,721.60 = 144,591.60/x
  3. Step 3: Cross multiply
    176,084.40x = 263,721.60 × 144,591.60
  4. Step 4: Simplify right side
    176,084.40x = 38,131,928,098.56
  5. Step 5: Solve for x
    x = 38,131,928,098.56/176,084.40
  6. Step 6: Final answer
    x = 216,554.83

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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.