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Finding the Fourth Proportional to 178,291.48, 267,478.62 and 51,934.72

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Solution

The fourth proportional to 178,291.48, 267,478.62 and 51,934.72 is: 77,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,291.48 : 267,478.62 = 51,934.72 : x
  2. Step 2: Convert to fraction form
    178,291.48/267,478.62 = 51,934.72/x
  3. Step 3: Cross multiply
    178,291.48x = 267,478.62 × 51,934.72
  4. Step 4: Simplify right side
    178,291.48x = 13,891,427,235.69
  5. Step 5: Solve for x
    x = 13,891,427,235.69/178,291.48
  6. Step 6: Final answer
    x = 77,914.14

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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.