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Finding the Fourth Proportional to 342,846.72, 514,405.44 and 106,207.86

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Solution

The fourth proportional to 342,846.72, 514,405.44 and 106,207.86 is: 159,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,846.72 : 514,405.44 = 106,207.86 : x
  2. Step 2: Convert to fraction form
    342,846.72/514,405.44 = 106,207.86/x
  3. Step 3: Cross multiply
    342,846.72x = 514,405.44 × 106,207.86
  4. Step 4: Simplify right side
    342,846.72x = 54,633,900,954.76
  5. Step 5: Solve for x
    x = 54,633,900,954.76/342,846.72
  6. Step 6: Final answer
    x = 159,353.72

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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.