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Finding the Fourth Proportional to 252,586.85, 378,552.22 and 102,652.66

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Solution

The fourth proportional to 252,586.85, 378,552.22 and 102,652.66 is: 153,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,586.85 : 378,552.22 = 102,652.66 : x
  2. Step 2: Convert to fraction form
    252,586.85/378,552.22 = 102,652.66/x
  3. Step 3: Cross multiply
    252,586.85x = 378,552.22 × 102,652.66
  4. Step 4: Simplify right side
    252,586.85x = 38,859,392,331.91
  5. Step 5: Solve for x
    x = 38,859,392,331.91/252,586.85
  6. Step 6: Final answer
    x = 153,845.67

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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.