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Finding the Fourth Proportional to 342,142.22, 513,213.60 and 92,824.22

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Solution

The fourth proportional to 342,142.22, 513,213.60 and 92,824.22 is: 139,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,142.22 : 513,213.60 = 92,824.22 : x
  2. Step 2: Convert to fraction form
    342,142.22/513,213.60 = 92,824.22/x
  3. Step 3: Cross multiply
    342,142.22x = 513,213.60 × 92,824.22
  4. Step 4: Simplify right side
    342,142.22x = 47,638,652,113.39
  5. Step 5: Solve for x
    x = 47,638,652,113.39/342,142.22
  6. Step 6: Final answer
    x = 139,236.40

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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.