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Finding the Fourth Proportional to 178,492.88, 267,741.24 and 53,834.96

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Solution

The fourth proportional to 178,492.88, 267,741.24 and 53,834.96 is: 80,753.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,492.88 : 267,741.24 = 53,834.96 : x
  2. Step 2: Convert to fraction form
    178,492.88/267,741.24 = 53,834.96/x
  3. Step 3: Cross multiply
    178,492.88x = 267,741.24 × 53,834.96
  4. Step 4: Simplify right side
    178,492.88x = 14,413,838,945.75
  5. Step 5: Solve for x
    x = 14,413,838,945.75/178,492.88
  6. Step 6: Final answer
    x = 80,753.02

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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.