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Finding the Fourth Proportional to 342,143.40, 513,215.10 and 92,825.40

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Solution

The fourth proportional to 342,143.40, 513,215.10 and 92,825.40 is: 139,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,143.40 : 513,215.10 = 92,825.40 : x
  2. Step 2: Convert to fraction form
    342,143.40/513,215.10 = 92,825.40/x
  3. Step 3: Cross multiply
    342,143.40x = 513,215.10 × 92,825.40
  4. Step 4: Simplify right side
    342,143.40x = 47,639,396,943.54
  5. Step 5: Solve for x
    x = 47,639,396,943.54/342,143.40
  6. Step 6: Final answer
    x = 139,238.10

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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.