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Finding the Fourth Proportional to 178,564.37, 267,848.17 and 45,444.78

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Solution

The fourth proportional to 178,564.37, 267,848.17 and 45,444.78 is: 68,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,564.37 : 267,848.17 = 45,444.78 : x
  2. Step 2: Convert to fraction form
    178,564.37/267,848.17 = 45,444.78/x
  3. Step 3: Cross multiply
    178,564.37x = 267,848.17 × 45,444.78
  4. Step 4: Simplify right side
    178,564.37x = 12,172,301,045.44
  5. Step 5: Solve for x
    x = 12,172,301,045.44/178,564.37
  6. Step 6: Final answer
    x = 68,167.58

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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.