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Finding the Fourth Proportional to 140,141.20, 210,211.80 and 41,645.20

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Solution

The fourth proportional to 140,141.20, 210,211.80 and 41,645.20 is: 62,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,141.20 : 210,211.80 = 41,645.20 : x
  2. Step 2: Convert to fraction form
    140,141.20/210,211.80 = 41,645.20/x
  3. Step 3: Cross multiply
    140,141.20x = 210,211.80 × 41,645.20
  4. Step 4: Simplify right side
    140,141.20x = 8,754,312,453.36
  5. Step 5: Solve for x
    x = 8,754,312,453.36/140,141.20
  6. Step 6: Final answer
    x = 62,467.80

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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.