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Finding the Fourth Proportional to 175,475.56, 242,160.42 and 100,022.44

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Solution

The fourth proportional to 175,475.56, 242,160.42 and 100,022.44 is: 138,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,475.56 : 242,160.42 = 100,022.44 : x
  2. Step 2: Convert to fraction form
    175,475.56/242,160.42 = 100,022.44/x
  3. Step 3: Cross multiply
    175,475.56x = 242,160.42 × 100,022.44
  4. Step 4: Simplify right side
    175,475.56x = 24,221,476,079.82
  5. Step 5: Solve for x
    x = 24,221,476,079.82/175,475.56
  6. Step 6: Final answer
    x = 138,033.33

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