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Finding the Fourth Proportional to 178,873.68, 267,959.94 and 103,836.48

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Solution

The fourth proportional to 178,873.68, 267,959.94 and 103,836.48 is: 155,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,873.68 : 267,959.94 = 103,836.48 : x
  2. Step 2: Convert to fraction form
    178,873.68/267,959.94 = 103,836.48/x
  3. Step 3: Cross multiply
    178,873.68x = 267,959.94 × 103,836.48
  4. Step 4: Simplify right side
    178,873.68x = 27,824,016,950.61
  5. Step 5: Solve for x
    x = 27,824,016,950.61/178,873.68
  6. Step 6: Final answer
    x = 155,551.21

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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.