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Finding the Fourth Proportional to 106,141.44, 159,080.94 and 53,565.96

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Solution

The fourth proportional to 106,141.44, 159,080.94 and 53,565.96 is: 80,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,141.44 : 159,080.94 = 53,565.96 : x
  2. Step 2: Convert to fraction form
    106,141.44/159,080.94 = 53,565.96/x
  3. Step 3: Cross multiply
    106,141.44x = 159,080.94 × 53,565.96
  4. Step 4: Simplify right side
    106,141.44x = 8,521,323,268.80
  5. Step 5: Solve for x
    x = 8,521,323,268.80/106,141.44
  6. Step 6: Final answer
    x = 80,282.72

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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.