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Finding the Fourth Proportional to 117,399.97, 175,984.12 and 75,159.82

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Solution

The fourth proportional to 117,399.97, 175,984.12 and 75,159.82 is: 112,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,399.97 : 175,984.12 = 75,159.82 : x
  2. Step 2: Convert to fraction form
    117,399.97/175,984.12 = 75,159.82/x
  3. Step 3: Cross multiply
    117,399.97x = 175,984.12 × 75,159.82
  4. Step 4: Simplify right side
    117,399.97x = 13,226,934,782.06
  5. Step 5: Solve for x
    x = 13,226,934,782.06/117,399.97
  6. Step 6: Final answer
    x = 112,665.57

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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.