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Finding the Fourth Proportional to 113,842.97, 170,772.65 and 43,722.28

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Solution

The fourth proportional to 113,842.97, 170,772.65 and 43,722.28 is: 65,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,842.97 : 170,772.65 = 43,722.28 : x
  2. Step 2: Convert to fraction form
    113,842.97/170,772.65 = 43,722.28/x
  3. Step 3: Cross multiply
    113,842.97x = 170,772.65 × 43,722.28
  4. Step 4: Simplify right side
    113,842.97x = 7,466,570,024.39
  5. Step 5: Solve for x
    x = 7,466,570,024.39/113,842.97
  6. Step 6: Final answer
    x = 65,586.57

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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.