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Finding the Fourth Proportional to 117,720.82, 176,387.04 and 67,842.82

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Solution

The fourth proportional to 117,720.82, 176,387.04 and 67,842.82 is: 101,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,720.82 : 176,387.04 = 67,842.82 : x
  2. Step 2: Convert to fraction form
    117,720.82/176,387.04 = 67,842.82/x
  3. Step 3: Cross multiply
    117,720.82x = 176,387.04 × 67,842.82
  4. Step 4: Simplify right side
    117,720.82x = 11,966,594,205.05
  5. Step 5: Solve for x
    x = 11,966,594,205.05/117,720.82
  6. Step 6: Final answer
    x = 101,652.32

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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.