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Finding the Fourth Proportional to 217,783.13, 300,611.19 and 141,167.06

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Solution

The fourth proportional to 217,783.13, 300,611.19 and 141,167.06 is: 194,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,783.13 : 300,611.19 = 141,167.06 : x
  2. Step 2: Convert to fraction form
    217,783.13/300,611.19 = 141,167.06/x
  3. Step 3: Cross multiply
    217,783.13x = 300,611.19 × 141,167.06
  4. Step 4: Simplify right side
    217,783.13x = 42,436,396,392.35
  5. Step 5: Solve for x
    x = 42,436,396,392.35/217,783.13
  6. Step 6: Final answer
    x = 194,856.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.