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Finding the Fourth Proportional to 106,790.64, 160,251.84 and 54,237.84

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Solution

The fourth proportional to 106,790.64, 160,251.84 and 54,237.84 is: 81,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,790.64 : 160,251.84 = 54,237.84 : x
  2. Step 2: Convert to fraction form
    106,790.64/160,251.84 = 54,237.84/x
  3. Step 3: Cross multiply
    106,790.64x = 160,251.84 × 54,237.84
  4. Step 4: Simplify right side
    106,790.64x = 8,691,713,657.63
  5. Step 5: Solve for x
    x = 8,691,713,657.63/106,790.64
  6. Step 6: Final answer
    x = 81,390.22

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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.