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Finding the Fourth Proportional to 206,506.64, 309,759.98 and 73,392.15

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Solution

The fourth proportional to 206,506.64, 309,759.98 and 73,392.15 is: 110,088.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,506.64 : 309,759.98 = 73,392.15 : x
  2. Step 2: Convert to fraction form
    206,506.64/309,759.98 = 73,392.15/x
  3. Step 3: Cross multiply
    206,506.64x = 309,759.98 × 73,392.15
  4. Step 4: Simplify right side
    206,506.64x = 22,733,950,549.20
  5. Step 5: Solve for x
    x = 22,733,950,549.20/206,506.64
  6. Step 6: Final answer
    x = 110,088.23

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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.