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Finding the Fourth Proportional to 256,111.31, 353,424.32 and 141,387.49

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Solution

The fourth proportional to 256,111.31, 353,424.32 and 141,387.49 is: 195,109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,111.31 : 353,424.32 = 141,387.49 : x
  2. Step 2: Convert to fraction form
    256,111.31/353,424.32 = 141,387.49/x
  3. Step 3: Cross multiply
    256,111.31x = 353,424.32 × 141,387.49
  4. Step 4: Simplify right side
    256,111.31x = 49,969,777,509.76
  5. Step 5: Solve for x
    x = 49,969,777,509.76/256,111.31
  6. Step 6: Final answer
    x = 195,109.61

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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.