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Finding the Fourth Proportional to 178,567.38, 267,852.66 and 45,447.78

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Solution

The fourth proportional to 178,567.38, 267,852.66 and 45,447.78 is: 68,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,567.38 : 267,852.66 = 45,447.78 : x
  2. Step 2: Convert to fraction form
    178,567.38/267,852.66 = 45,447.78/x
  3. Step 3: Cross multiply
    178,567.38x = 267,852.66 × 45,447.78
  4. Step 4: Simplify right side
    178,567.38x = 12,173,308,764.09
  5. Step 5: Solve for x
    x = 12,173,308,764.09/178,567.38
  6. Step 6: Final answer
    x = 68,172.07

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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.