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Finding the Fourth Proportional to 178,288.40, 267,583.80 and 73,182.80

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Solution

The fourth proportional to 178,288.40, 267,583.80 and 73,182.80 is: 109,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,288.40 : 267,583.80 = 73,182.80 : x
  2. Step 2: Convert to fraction form
    178,288.40/267,583.80 = 73,182.80/x
  3. Step 3: Cross multiply
    178,288.40x = 267,583.80 × 73,182.80
  4. Step 4: Simplify right side
    178,288.40x = 19,582,531,718.64
  5. Step 5: Solve for x
    x = 19,582,531,718.64/178,288.40
  6. Step 6: Final answer
    x = 109,836.26

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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.