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Finding the Fourth Proportional to 106,367.32, 146,788.50 and 61,052.68

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Solution

The fourth proportional to 106,367.32, 146,788.50 and 61,052.68 is: 84,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,367.32 : 146,788.50 = 61,052.68 : x
  2. Step 2: Convert to fraction form
    106,367.32/146,788.50 = 61,052.68/x
  3. Step 3: Cross multiply
    106,367.32x = 146,788.50 × 61,052.68
  4. Step 4: Simplify right side
    106,367.32x = 8,961,831,318.18
  5. Step 5: Solve for x
    x = 8,961,831,318.18/106,367.32
  6. Step 6: Final answer
    x = 84,253.62

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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.