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Finding the Fourth Proportional to 311,061.73, 429,265.29 and 182,025.01

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Solution

The fourth proportional to 311,061.73, 429,265.29 and 182,025.01 is: 251,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,061.73 : 429,265.29 = 182,025.01 : x
  2. Step 2: Convert to fraction form
    311,061.73/429,265.29 = 182,025.01/x
  3. Step 3: Cross multiply
    311,061.73x = 429,265.29 × 182,025.01
  4. Step 4: Simplify right side
    311,061.73x = 78,137,017,794.78
  5. Step 5: Solve for x
    x = 78,137,017,794.78/311,061.73
  6. Step 6: Final answer
    x = 251,194.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.