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Finding the Fourth Proportional to 152,115.36, 228,200.31 and 52,249.65

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Solution

The fourth proportional to 152,115.36, 228,200.31 and 52,249.65 is: 78,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,115.36 : 228,200.31 = 52,249.65 : x
  2. Step 2: Convert to fraction form
    152,115.36/228,200.31 = 52,249.65/x
  3. Step 3: Cross multiply
    152,115.36x = 228,200.31 × 52,249.65
  4. Step 4: Simplify right side
    152,115.36x = 11,923,386,327.39
  5. Step 5: Solve for x
    x = 11,923,386,327.39/152,115.36
  6. Step 6: Final answer
    x = 78,383.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.