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Finding the Fourth Proportional to 152,047.30, 228,049.35 and 52,212.10

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Solution

The fourth proportional to 152,047.30, 228,049.35 and 52,212.10 is: 78,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,047.30 : 228,049.35 = 52,212.10 : x
  2. Step 2: Convert to fraction form
    152,047.30/228,049.35 = 52,212.10/x
  3. Step 3: Cross multiply
    152,047.30x = 228,049.35 × 52,212.10
  4. Step 4: Simplify right side
    152,047.30x = 11,906,935,467.14
  5. Step 5: Solve for x
    x = 11,906,935,467.14/152,047.30
  6. Step 6: Final answer
    x = 78,310.73

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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.