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Finding the Fourth Proportional to 232,503.72, 320,832.95 and 130,505.78

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Solution

The fourth proportional to 232,503.72, 320,832.95 and 130,505.78 is: 180,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,503.72 : 320,832.95 = 130,505.78 : x
  2. Step 2: Convert to fraction form
    232,503.72/320,832.95 = 130,505.78/x
  3. Step 3: Cross multiply
    232,503.72x = 320,832.95 × 130,505.78
  4. Step 4: Simplify right side
    232,503.72x = 41,870,555,273.10
  5. Step 5: Solve for x
    x = 41,870,555,273.10/232,503.72
  6. Step 6: Final answer
    x = 180,085.53

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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.