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Finding the Fourth Proportional to 178,309.52, 267,504.64 and 102,443.08

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Solution

The fourth proportional to 178,309.52, 267,504.64 and 102,443.08 is: 153,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,309.52 : 267,504.64 = 102,443.08 : x
  2. Step 2: Convert to fraction form
    178,309.52/267,504.64 = 102,443.08/x
  3. Step 3: Cross multiply
    178,309.52x = 267,504.64 × 102,443.08
  4. Step 4: Simplify right side
    178,309.52x = 27,404,000,085.19
  5. Step 5: Solve for x
    x = 27,404,000,085.19/178,309.52
  6. Step 6: Final answer
    x = 153,687.81

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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.