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Finding the Fourth Proportional to 342,135.52, 513,205.14 and 92,817.52

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Solution

The fourth proportional to 342,135.52, 513,205.14 and 92,817.52 is: 139,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,135.52 : 513,205.14 = 92,817.52 : x
  2. Step 2: Convert to fraction form
    342,135.52/513,205.14 = 92,817.52/x
  3. Step 3: Cross multiply
    342,135.52x = 513,205.14 × 92,817.52
  4. Step 4: Simplify right side
    342,135.52x = 47,634,428,346.05
  5. Step 5: Solve for x
    x = 47,634,428,346.05/342,135.52
  6. Step 6: Final answer
    x = 139,226.78

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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.