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Finding the Fourth Proportional to 106,310.40, 159,465.60 and 81,427.20

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Solution

The fourth proportional to 106,310.40, 159,465.60 and 81,427.20 is: 122,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,310.40 : 159,465.60 = 81,427.20 : x
  2. Step 2: Convert to fraction form
    106,310.40/159,465.60 = 81,427.20/x
  3. Step 3: Cross multiply
    106,310.40x = 159,465.60 × 81,427.20
  4. Step 4: Simplify right side
    106,310.40x = 12,984,837,304.32
  5. Step 5: Solve for x
    x = 12,984,837,304.32/106,310.40
  6. Step 6: Final answer
    x = 122,140.80

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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.