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Finding the Fourth Proportional to 105,969.60, 158,809.68 and 53,414.64

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Solution

The fourth proportional to 105,969.60, 158,809.68 and 53,414.64 is: 80,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969.60 : 158,809.68 = 53,414.64 : x
  2. Step 2: Convert to fraction form
    105,969.60/158,809.68 = 53,414.64/x
  3. Step 3: Cross multiply
    105,969.60x = 158,809.68 × 53,414.64
  4. Step 4: Simplify right side
    105,969.60x = 8,482,761,885.72
  5. Step 5: Solve for x
    x = 8,482,761,885.72/105,969.60
  6. Step 6: Final answer
    x = 80,049.01

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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.