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Finding the Fourth Proportional to 140,209.52, 210,314.30 and 41,713.52

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Solution

The fourth proportional to 140,209.52, 210,314.30 and 41,713.52 is: 62,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,209.52 : 210,314.30 = 41,713.52 : x
  2. Step 2: Convert to fraction form
    140,209.52/210,314.30 = 41,713.52/x
  3. Step 3: Cross multiply
    140,209.52x = 210,314.30 × 41,713.52
  4. Step 4: Simplify right side
    140,209.52x = 8,772,949,759.34
  5. Step 5: Solve for x
    x = 8,772,949,759.34/140,209.52
  6. Step 6: Final answer
    x = 62,570.29

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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.