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Finding the Fourth Proportional to 279,305.64, 419,024.07 and 92,317.14

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Solution

The fourth proportional to 279,305.64, 419,024.07 and 92,317.14 is: 138,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,305.64 : 419,024.07 = 92,317.14 : x
  2. Step 2: Convert to fraction form
    279,305.64/419,024.07 = 92,317.14/x
  3. Step 3: Cross multiply
    279,305.64x = 419,024.07 × 92,317.14
  4. Step 4: Simplify right side
    279,305.64x = 38,683,103,733.56
  5. Step 5: Solve for x
    x = 38,683,103,733.56/279,305.64
  6. Step 6: Final answer
    x = 138,497.40

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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.