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Finding the Fourth Proportional to 342,214.14, 513,321.20 and 92,896.14

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Solution

The fourth proportional to 342,214.14, 513,321.20 and 92,896.14 is: 139,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,214.14 : 513,321.20 = 92,896.14 : x
  2. Step 2: Convert to fraction form
    342,214.14/513,321.20 = 92,896.14/x
  3. Step 3: Cross multiply
    342,214.14x = 513,321.20 × 92,896.14
  4. Step 4: Simplify right side
    342,214.14x = 47,685,558,060.17
  5. Step 5: Solve for x
    x = 47,685,558,060.17/342,214.14
  6. Step 6: Final answer
    x = 139,344.21

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1.5x scale

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.