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Finding the Fourth Proportional to 348,867.81, 523,290.78 and 99,549.81

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Solution

The fourth proportional to 348,867.81, 523,290.78 and 99,549.81 is: 149,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,867.81 : 523,290.78 = 99,549.81 : x
  2. Step 2: Convert to fraction form
    348,867.81/523,290.78 = 99,549.81/x
  3. Step 3: Cross multiply
    348,867.81x = 523,290.78 × 99,549.81
  4. Step 4: Simplify right side
    348,867.81x = 52,093,497,723.75
  5. Step 5: Solve for x
    x = 52,093,497,723.75/348,867.81
  6. Step 6: Final answer
    x = 149,321.59

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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.