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Finding the Fourth Proportional to 144,701.60, 217,052.40 and 81,456.80

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Solution

The fourth proportional to 144,701.60, 217,052.40 and 81,456.80 is: 122,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,701.60 : 217,052.40 = 81,456.80 : x
  2. Step 2: Convert to fraction form
    144,701.60/217,052.40 = 81,456.80/x
  3. Step 3: Cross multiply
    144,701.60x = 217,052.40 × 81,456.80
  4. Step 4: Simplify right side
    144,701.60x = 17,680,393,936.32
  5. Step 5: Solve for x
    x = 17,680,393,936.32/144,701.60
  6. Step 6: Final answer
    x = 122,185.20

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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.