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Finding the Fourth Proportional to 206,181.04, 284,525 and 121,303.56

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Solution

The fourth proportional to 206,181.04, 284,525 and 121,303.56 is: 167,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,181.04 : 284,525 = 121,303.56 : x
  2. Step 2: Convert to fraction form
    206,181.04/284,525 = 121,303.56/x
  3. Step 3: Cross multiply
    206,181.04x = 284,525 × 121,303.56
  4. Step 4: Simplify right side
    206,181.04x = 34,513,895,409
  5. Step 5: Solve for x
    x = 34,513,895,409/206,181.04
  6. Step 6: Final answer
    x = 167,396.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.