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Finding the Fourth Proportional to 106,187.84, 159,171.60 and 52,844.48

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Solution

The fourth proportional to 106,187.84, 159,171.60 and 52,844.48 is: 79,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,187.84 : 159,171.60 = 52,844.48 : x
  2. Step 2: Convert to fraction form
    106,187.84/159,171.60 = 52,844.48/x
  3. Step 3: Cross multiply
    106,187.84x = 159,171.60 × 52,844.48
  4. Step 4: Simplify right side
    106,187.84x = 8,411,340,432.77
  5. Step 5: Solve for x
    x = 8,411,340,432.77/106,187.84
  6. Step 6: Final answer
    x = 79,211.90

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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.