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Finding the Fourth Proportional to 114,507.12, 157,947.12 and 82,722.72

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Solution

The fourth proportional to 114,507.12, 157,947.12 and 82,722.72 is: 114,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,507.12 : 157,947.12 = 82,722.72 : x
  2. Step 2: Convert to fraction form
    114,507.12/157,947.12 = 82,722.72/x
  3. Step 3: Cross multiply
    114,507.12x = 157,947.12 × 82,722.72
  4. Step 4: Simplify right side
    114,507.12x = 13,065,815,382.57
  5. Step 5: Solve for x
    x = 13,065,815,382.57/114,507.12
  6. Step 6: Final answer
    x = 114,104.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.