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Finding the Fourth Proportional to 120,620.40, 180,948.42 and 41,713.44

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Solution

The fourth proportional to 120,620.40, 180,948.42 and 41,713.44 is: 62,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,620.40 : 180,948.42 = 41,713.44 : x
  2. Step 2: Convert to fraction form
    120,620.40/180,948.42 = 41,713.44/x
  3. Step 3: Cross multiply
    120,620.40x = 180,948.42 × 41,713.44
  4. Step 4: Simplify right side
    120,620.40x = 7,547,981,060.76
  5. Step 5: Solve for x
    x = 7,547,981,060.76/120,620.40
  6. Step 6: Final answer
    x = 62,576.32

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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.