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Finding the Fourth Proportional to 140,431.60, 210,640.92 and 35,248.24

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Solution

The fourth proportional to 140,431.60, 210,640.92 and 35,248.24 is: 52,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,431.60 : 210,640.92 = 35,248.24 : x
  2. Step 2: Convert to fraction form
    140,431.60/210,640.92 = 35,248.24/x
  3. Step 3: Cross multiply
    140,431.60x = 210,640.92 × 35,248.24
  4. Step 4: Simplify right side
    140,431.60x = 7,424,721,701.98
  5. Step 5: Solve for x
    x = 7,424,721,701.98/140,431.60
  6. Step 6: Final answer
    x = 52,870.73

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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.