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Finding the Fourth Proportional to 232,048.20, 347,813.10 and 132,256.20

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Solution

The fourth proportional to 232,048.20, 347,813.10 and 132,256.20 is: 198,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,048.20 : 347,813.10 = 132,256.20 : x
  2. Step 2: Convert to fraction form
    232,048.20/347,813.10 = 132,256.20/x
  3. Step 3: Cross multiply
    232,048.20x = 347,813.10 × 132,256.20
  4. Step 4: Simplify right side
    232,048.20x = 46,000,438,916.22
  5. Step 5: Solve for x
    x = 46,000,438,916.22/232,048.20
  6. Step 6: Final answer
    x = 198,236.57

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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.