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Finding the Fourth Proportional to 209,778.35, 289,637.25 and 161,294.99

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Solution

The fourth proportional to 209,778.35, 289,637.25 and 161,294.99 is: 222,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,778.35 : 289,637.25 = 161,294.99 : x
  2. Step 2: Convert to fraction form
    209,778.35/289,637.25 = 161,294.99/x
  3. Step 3: Cross multiply
    209,778.35x = 289,637.25 × 161,294.99
  4. Step 4: Simplify right side
    209,778.35x = 46,717,037,342.38
  5. Step 5: Solve for x
    x = 46,717,037,342.38/209,778.35
  6. Step 6: Final answer
    x = 222,697.13

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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.