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Finding the Fourth Proportional to 182,376, 273,442.50 and 75,732.21

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Solution

The fourth proportional to 182,376, 273,442.50 and 75,732.21 is: 113,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,376 : 273,442.50 = 75,732.21 : x
  2. Step 2: Convert to fraction form
    182,376/273,442.50 = 75,732.21/x
  3. Step 3: Cross multiply
    182,376x = 273,442.50 × 75,732.21
  4. Step 4: Simplify right side
    182,376x = 20,708,404,832.93
  5. Step 5: Solve for x
    x = 20,708,404,832.93/182,376
  6. Step 6: Final answer
    x = 113,547.86

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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.