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Finding the Fourth Proportional to 178,408.01, 267,585.95 and 52,014.29

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Solution

The fourth proportional to 178,408.01, 267,585.95 and 52,014.29 is: 78,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,408.01 : 267,585.95 = 52,014.29 : x
  2. Step 2: Convert to fraction form
    178,408.01/267,585.95 = 52,014.29/x
  3. Step 3: Cross multiply
    178,408.01x = 267,585.95 × 52,014.29
  4. Step 4: Simplify right side
    178,408.01x = 13,918,291,605.22
  5. Step 5: Solve for x
    x = 13,918,291,605.22/178,408.01
  6. Step 6: Final answer
    x = 78,013.83

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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.