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Finding the Fourth Proportional to 209,249.34, 313,871.30 and 51,479.16

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Solution

The fourth proportional to 209,249.34, 313,871.30 and 51,479.16 is: 77,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,249.34 : 313,871.30 = 51,479.16 : x
  2. Step 2: Convert to fraction form
    209,249.34/313,871.30 = 51,479.16/x
  3. Step 3: Cross multiply
    209,249.34x = 313,871.30 × 51,479.16
  4. Step 4: Simplify right side
    209,249.34x = 16,157,830,872.11
  5. Step 5: Solve for x
    x = 16,157,830,872.11/209,249.34
  6. Step 6: Final answer
    x = 77,218.07

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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.