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Finding the Fourth Proportional to 106,251.95, 159,204.71 and 61,916.06

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Solution

The fourth proportional to 106,251.95, 159,204.71 and 61,916.06 is: 92,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,251.95 : 159,204.71 = 61,916.06 : x
  2. Step 2: Convert to fraction form
    106,251.95/159,204.71 = 61,916.06/x
  3. Step 3: Cross multiply
    106,251.95x = 159,204.71 × 61,916.06
  4. Step 4: Simplify right side
    106,251.95x = 9,857,328,376.64
  5. Step 5: Solve for x
    x = 9,857,328,376.64/106,251.95
  6. Step 6: Final answer
    x = 92,773.15

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Why These Related Problems?

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