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Finding the Fourth Proportional to 178,304.94, 267,694.97 and 103,478.81

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Solution

The fourth proportional to 178,304.94, 267,694.97 and 103,478.81 is: 155,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,304.94 : 267,694.97 = 103,478.81 : x
  2. Step 2: Convert to fraction form
    178,304.94/267,694.97 = 103,478.81/x
  3. Step 3: Cross multiply
    178,304.94x = 267,694.97 × 103,478.81
  4. Step 4: Simplify right side
    178,304.94x = 27,700,755,082.72
  5. Step 5: Solve for x
    x = 27,700,755,082.72/178,304.94
  6. Step 6: Final answer
    x = 155,356.07

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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.