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Finding the Fourth Proportional to 144,170.16, 216,231.76 and 50,654.08

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Solution

The fourth proportional to 144,170.16, 216,231.76 and 50,654.08 is: 75,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,170.16 : 216,231.76 = 50,654.08 : x
  2. Step 2: Convert to fraction form
    144,170.16/216,231.76 = 50,654.08/x
  3. Step 3: Cross multiply
    144,170.16x = 216,231.76 × 50,654.08
  4. Step 4: Simplify right side
    144,170.16x = 10,953,020,869.58
  5. Step 5: Solve for x
    x = 10,953,020,869.58/144,170.16
  6. Step 6: Final answer
    x = 75,972.87

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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.