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Finding the Fourth Proportional to 342,741.96, 514,134.72 and 106,064.76

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Solution

The fourth proportional to 342,741.96, 514,134.72 and 106,064.76 is: 159,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,741.96 : 514,134.72 = 106,064.76 : x
  2. Step 2: Convert to fraction form
    342,741.96/514,134.72 = 106,064.76/x
  3. Step 3: Cross multiply
    342,741.96x = 514,134.72 × 106,064.76
  4. Step 4: Simplify right side
    342,741.96x = 54,531,575,684.47
  5. Step 5: Solve for x
    x = 54,531,575,684.47/342,741.96
  6. Step 6: Final answer
    x = 159,103.88

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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.