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Finding the Fourth Proportional to 188,222.40, 282,727.26 and 158,697.90

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Solution

The fourth proportional to 188,222.40, 282,727.26 and 158,697.90 is: 238,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,222.40 : 282,727.26 = 158,697.90 : x
  2. Step 2: Convert to fraction form
    188,222.40/282,727.26 = 158,697.90/x
  3. Step 3: Cross multiply
    188,222.40x = 282,727.26 × 158,697.90
  4. Step 4: Simplify right side
    188,222.40x = 44,868,222,434.75
  5. Step 5: Solve for x
    x = 44,868,222,434.75/188,222.40
  6. Step 6: Final answer
    x = 238,378.76

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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.