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Finding the Fourth Proportional to 232,085.20, 320,255.76 and 131,483.20

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Solution

The fourth proportional to 232,085.20, 320,255.76 and 131,483.20 is: 181,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,085.20 : 320,255.76 = 131,483.20 : x
  2. Step 2: Convert to fraction form
    232,085.20/320,255.76 = 131,483.20/x
  3. Step 3: Cross multiply
    232,085.20x = 320,255.76 × 131,483.20
  4. Step 4: Simplify right side
    232,085.20x = 42,108,252,143.23
  5. Step 5: Solve for x
    x = 42,108,252,143.23/232,085.20
  6. Step 6: Final answer
    x = 181,434.46

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