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Finding the Fourth Proportional to 342,747.96, 514,143.72 and 106,070.76

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Solution

The fourth proportional to 342,747.96, 514,143.72 and 106,070.76 is: 159,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,747.96 : 514,143.72 = 106,070.76 : x
  2. Step 2: Convert to fraction form
    342,747.96/514,143.72 = 106,070.76/x
  3. Step 3: Cross multiply
    342,747.96x = 514,143.72 × 106,070.76
  4. Step 4: Simplify right side
    342,747.96x = 54,535,615,129.63
  5. Step 5: Solve for x
    x = 54,535,615,129.63/342,747.96
  6. Step 6: Final answer
    x = 159,112.88

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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.