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Finding the Fourth Proportional to 342,868.96, 514,337.19 and 118,199.80

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Solution

The fourth proportional to 342,868.96, 514,337.19 and 118,199.80 is: 177,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,868.96 : 514,337.19 = 118,199.80 : x
  2. Step 2: Convert to fraction form
    342,868.96/514,337.19 = 118,199.80/x
  3. Step 3: Cross multiply
    342,868.96x = 514,337.19 × 118,199.80
  4. Step 4: Simplify right side
    342,868.96x = 60,794,552,990.56
  5. Step 5: Solve for x
    x = 60,794,552,990.56/342,868.96
  6. Step 6: Final answer
    x = 177,311.33

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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.