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Finding the Fourth Proportional to 132,877, 199,316.22 and 34,381

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Solution

The fourth proportional to 132,877, 199,316.22 and 34,381 is: 51,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,877 : 199,316.22 = 34,381 : x
  2. Step 2: Convert to fraction form
    132,877/199,316.22 = 34,381/x
  3. Step 3: Cross multiply
    132,877x = 199,316.22 × 34,381
  4. Step 4: Simplify right side
    132,877x = 6,852,690,959.82
  5. Step 5: Solve for x
    x = 6,852,690,959.82/132,877
  6. Step 6: Final answer
    x = 51,571.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.