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Finding the Fourth Proportional to 232,552.32, 320,957.29 and 141,961.02

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Solution

The fourth proportional to 232,552.32, 320,957.29 and 141,961.02 is: 195,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,552.32 : 320,957.29 = 141,961.02 : x
  2. Step 2: Convert to fraction form
    232,552.32/320,957.29 = 141,961.02/x
  3. Step 3: Cross multiply
    232,552.32x = 320,957.29 × 141,961.02
  4. Step 4: Simplify right side
    232,552.32x = 45,563,423,639.89
  5. Step 5: Solve for x
    x = 45,563,423,639.89/232,552.32
  6. Step 6: Final answer
    x = 195,927.63

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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.