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Finding the Fourth Proportional to 342,748.96, 514,145.22 and 106,071.76

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Solution

The fourth proportional to 342,748.96, 514,145.22 and 106,071.76 is: 159,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,748.96 : 514,145.22 = 106,071.76 : x
  2. Step 2: Convert to fraction form
    342,748.96/514,145.22 = 106,071.76/x
  3. Step 3: Cross multiply
    342,748.96x = 514,145.22 × 106,071.76
  4. Step 4: Simplify right side
    342,748.96x = 54,536,288,380.99
  5. Step 5: Solve for x
    x = 54,536,288,380.99/342,748.96
  6. Step 6: Final answer
    x = 159,114.38

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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.