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Finding the Fourth Proportional to 180,396.70, 248,959.90 and 99,827.62

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Solution

The fourth proportional to 180,396.70, 248,959.90 and 99,827.62 is: 137,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,396.70 : 248,959.90 = 99,827.62 : x
  2. Step 2: Convert to fraction form
    180,396.70/248,959.90 = 99,827.62/x
  3. Step 3: Cross multiply
    180,396.70x = 248,959.90 × 99,827.62
  4. Step 4: Simplify right side
    180,396.70x = 24,853,074,292.44
  5. Step 5: Solve for x
    x = 24,853,074,292.44/180,396.70
  6. Step 6: Final answer
    x = 137,769.01

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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.