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Finding the Fourth Proportional to 99,334, 137,080.92 and 54,622

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Solution

The fourth proportional to 99,334, 137,080.92 and 54,622 is: 75,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,334 : 137,080.92 = 54,622 : x
  2. Step 2: Convert to fraction form
    99,334/137,080.92 = 54,622/x
  3. Step 3: Cross multiply
    99,334x = 137,080.92 × 54,622
  4. Step 4: Simplify right side
    99,334x = 7,487,634,012.24
  5. Step 5: Solve for x
    x = 7,487,634,012.24/99,334
  6. Step 6: Final answer
    x = 75,378.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.