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Finding the Fourth Proportional to 256,095.13, 353,402.02 and 141,371.31

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Solution

The fourth proportional to 256,095.13, 353,402.02 and 141,371.31 is: 195,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,095.13 : 353,402.02 = 141,371.31 : x
  2. Step 2: Convert to fraction form
    256,095.13/353,402.02 = 141,371.31/x
  3. Step 3: Cross multiply
    256,095.13x = 353,402.02 × 141,371.31
  4. Step 4: Simplify right side
    256,095.13x = 49,960,904,933.68
  5. Step 5: Solve for x
    x = 49,960,904,933.68/256,095.13
  6. Step 6: Final answer
    x = 195,087.29

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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.