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Finding the Fourth Proportional to 106,375.40, 159,368.70 and 86,546.60

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Solution

The fourth proportional to 106,375.40, 159,368.70 and 86,546.60 is: 129,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,375.40 : 159,368.70 = 86,546.60 : x
  2. Step 2: Convert to fraction form
    106,375.40/159,368.70 = 86,546.60/x
  3. Step 3: Cross multiply
    106,375.40x = 159,368.70 × 86,546.60
  4. Step 4: Simplify right side
    106,375.40x = 13,792,819,131.42
  5. Step 5: Solve for x
    x = 13,792,819,131.42/106,375.40
  6. Step 6: Final answer
    x = 129,661.74

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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.