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Finding the Fourth Proportional to 140,298.55, 210,478.92 and 40,450.96

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Solution

The fourth proportional to 140,298.55, 210,478.92 and 40,450.96 is: 60,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,298.55 : 210,478.92 = 40,450.96 : x
  2. Step 2: Convert to fraction form
    140,298.55/210,478.92 = 40,450.96/x
  3. Step 3: Cross multiply
    140,298.55x = 210,478.92 × 40,450.96
  4. Step 4: Simplify right side
    140,298.55x = 8,514,073,422.50
  5. Step 5: Solve for x
    x = 8,514,073,422.50/140,298.55
  6. Step 6: Final answer
    x = 60,685.40

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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.