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Finding the Fourth Proportional to 209,245.34, 313,865.31 and 51,475.16

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Solution

The fourth proportional to 209,245.34, 313,865.31 and 51,475.16 is: 77,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,245.34 : 313,865.31 = 51,475.16 : x
  2. Step 2: Convert to fraction form
    209,245.34/313,865.31 = 51,475.16/x
  3. Step 3: Cross multiply
    209,245.34x = 313,865.31 × 51,475.16
  4. Step 4: Simplify right side
    209,245.34x = 16,156,267,050.70
  5. Step 5: Solve for x
    x = 16,156,267,050.70/209,245.34
  6. Step 6: Final answer
    x = 77,212.08

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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.