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Finding the Fourth Proportional to 227,642.31, 341,503.56 and 77,847.39

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Solution

The fourth proportional to 227,642.31, 341,503.56 and 77,847.39 is: 116,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,642.31 : 341,503.56 = 77,847.39 : x
  2. Step 2: Convert to fraction form
    227,642.31/341,503.56 = 77,847.39/x
  3. Step 3: Cross multiply
    227,642.31x = 341,503.56 × 77,847.39
  4. Step 4: Simplify right side
    227,642.31x = 26,585,160,821.71
  5. Step 5: Solve for x
    x = 26,585,160,821.71/227,642.31
  6. Step 6: Final answer
    x = 116,784.80

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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.