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Finding the Fourth Proportional to 178,566.96, 267,866.16 and 66,248.40

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Solution

The fourth proportional to 178,566.96, 267,866.16 and 66,248.40 is: 99,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,566.96 : 267,866.16 = 66,248.40 : x
  2. Step 2: Convert to fraction form
    178,566.96/267,866.16 = 66,248.40/x
  3. Step 3: Cross multiply
    178,566.96x = 267,866.16 × 66,248.40
  4. Step 4: Simplify right side
    178,566.96x = 17,745,704,514.14
  5. Step 5: Solve for x
    x = 17,745,704,514.14/178,566.96
  6. Step 6: Final answer
    x = 99,378.43

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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.