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Finding the Fourth Proportional to 106,241.81, 159,311.88 and 61,881.21

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Solution

The fourth proportional to 106,241.81, 159,311.88 and 61,881.21 is: 92,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,241.81 : 159,311.88 = 61,881.21 : x
  2. Step 2: Convert to fraction form
    106,241.81/159,311.88 = 61,881.21/x
  3. Step 3: Cross multiply
    106,241.81x = 159,311.88 × 61,881.21
  4. Step 4: Simplify right side
    106,241.81x = 9,858,411,901.77
  5. Step 5: Solve for x
    x = 9,858,411,901.77/106,241.81
  6. Step 6: Final answer
    x = 92,792.21

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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.