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Finding the Fourth Proportional to 295,902.24, 443,856.60 and 85,542

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Solution

The fourth proportional to 295,902.24, 443,856.60 and 85,542 is: 128,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,902.24 : 443,856.60 = 85,542 : x
  2. Step 2: Convert to fraction form
    295,902.24/443,856.60 = 85,542/x
  3. Step 3: Cross multiply
    295,902.24x = 443,856.60 × 85,542
  4. Step 4: Simplify right side
    295,902.24x = 37,968,381,277.20
  5. Step 5: Solve for x
    x = 37,968,381,277.20/295,902.24
  6. Step 6: Final answer
    x = 128,313.94

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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.