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Finding the Fourth Proportional to 206,264.58, 284,662.53 and 115,619.10

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Solution

The fourth proportional to 206,264.58, 284,662.53 and 115,619.10 is: 159,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,264.58 : 284,662.53 = 115,619.10 : x
  2. Step 2: Convert to fraction form
    206,264.58/284,662.53 = 115,619.10/x
  3. Step 3: Cross multiply
    206,264.58x = 284,662.53 × 115,619.10
  4. Step 4: Simplify right side
    206,264.58x = 32,912,425,522.32
  5. Step 5: Solve for x
    x = 32,912,425,522.32/206,264.58
  6. Step 6: Final answer
    x = 159,564.12

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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.