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Finding the Fourth Proportional to 106,180.88, 159,084.48 and 99,859.64

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Solution

The fourth proportional to 106,180.88, 159,084.48 and 99,859.64 is: 149,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,180.88 : 159,084.48 = 99,859.64 : x
  2. Step 2: Convert to fraction form
    106,180.88/159,084.48 = 99,859.64/x
  3. Step 3: Cross multiply
    106,180.88x = 159,084.48 × 99,859.64
  4. Step 4: Simplify right side
    106,180.88x = 15,886,118,902.39
  5. Step 5: Solve for x
    x = 15,886,118,902.39/106,180.88
  6. Step 6: Final answer
    x = 149,613.74

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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.