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Finding the Fourth Proportional to 232,146.95, 320,419.70 and 141,552.80

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Solution

The fourth proportional to 232,146.95, 320,419.70 and 141,552.80 is: 195,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,146.95 : 320,419.70 = 141,552.80 : x
  2. Step 2: Convert to fraction form
    232,146.95/320,419.70 = 141,552.80/x
  3. Step 3: Cross multiply
    232,146.95x = 320,419.70 × 141,552.80
  4. Step 4: Simplify right side
    232,146.95x = 45,356,305,132.69
  5. Step 5: Solve for x
    x = 45,356,305,132.69/232,146.95
  6. Step 6: Final answer
    x = 195,377.57

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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.