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Finding the Fourth Proportional to 106,363.85, 146,789.04 and 61,056.50

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Solution

The fourth proportional to 106,363.85, 146,789.04 and 61,056.50 is: 84,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,363.85 : 146,789.04 = 61,056.50 : x
  2. Step 2: Convert to fraction form
    106,363.85/146,789.04 = 61,056.50/x
  3. Step 3: Cross multiply
    106,363.85x = 146,789.04 × 61,056.50
  4. Step 4: Simplify right side
    106,363.85x = 8,962,424,286.81
  5. Step 5: Solve for x
    x = 8,962,424,286.81/106,363.85
  6. Step 6: Final answer
    x = 84,261.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.