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Finding the Fourth Proportional to 178,473.96, 267,682.16 and 52,084.53

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Solution

The fourth proportional to 178,473.96, 267,682.16 and 52,084.53 is: 78,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,473.96 : 267,682.16 = 52,084.53 : x
  2. Step 2: Convert to fraction form
    178,473.96/267,682.16 = 52,084.53/x
  3. Step 3: Cross multiply
    178,473.96x = 267,682.16 × 52,084.53
  4. Step 4: Simplify right side
    178,473.96x = 13,942,099,623.20
  5. Step 5: Solve for x
    x = 13,942,099,623.20/178,473.96
  6. Step 6: Final answer
    x = 78,118.40

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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.