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Finding the Fourth Proportional to 117,166.80, 175,713.89 and 42,277.22

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Solution

The fourth proportional to 117,166.80, 175,713.89 and 42,277.22 is: 63,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,166.80 : 175,713.89 = 42,277.22 : x
  2. Step 2: Convert to fraction form
    117,166.80/175,713.89 = 42,277.22/x
  3. Step 3: Cross multiply
    117,166.80x = 175,713.89 × 42,277.22
  4. Step 4: Simplify right side
    117,166.80x = 7,428,693,694.63
  5. Step 5: Solve for x
    x = 7,428,693,694.63/117,166.80
  6. Step 6: Final answer
    x = 63,402.72

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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.