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Finding the Fourth Proportional to 232,201, 320,505.78 and 151,640.92

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Solution

The fourth proportional to 232,201, 320,505.78 and 151,640.92 is: 209,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,201 : 320,505.78 = 151,640.92 : x
  2. Step 2: Convert to fraction form
    232,201/320,505.78 = 151,640.92/x
  3. Step 3: Cross multiply
    232,201x = 320,505.78 × 151,640.92
  4. Step 4: Simplify right side
    232,201x = 48,601,791,344.52
  5. Step 5: Solve for x
    x = 48,601,791,344.52/232,201
  6. Step 6: Final answer
    x = 209,309.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.