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Finding the Fourth Proportional to 206,969, 285,617.58 and 117,545

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Solution

The fourth proportional to 206,969, 285,617.58 and 117,545 is: 162,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,969 : 285,617.58 = 117,545 : x
  2. Step 2: Convert to fraction form
    206,969/285,617.58 = 117,545/x
  3. Step 3: Cross multiply
    206,969x = 285,617.58 × 117,545
  4. Step 4: Simplify right side
    206,969x = 33,572,918,441.10
  5. Step 5: Solve for x
    x = 33,572,918,441.10/206,969
  6. Step 6: Final answer
    x = 162,212.30

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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.