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Finding the Fourth Proportional to 206,680.51, 310,022.42 and 56,929.06

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Solution

The fourth proportional to 206,680.51, 310,022.42 and 56,929.06 is: 85,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,680.51 : 310,022.42 = 56,929.06 : x
  2. Step 2: Convert to fraction form
    206,680.51/310,022.42 = 56,929.06/x
  3. Step 3: Cross multiply
    206,680.51x = 310,022.42 × 56,929.06
  4. Step 4: Simplify right side
    206,680.51x = 17,649,284,949.53
  5. Step 5: Solve for x
    x = 17,649,284,949.53/206,680.51
  6. Step 6: Final answer
    x = 85,394.05

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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.