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Finding the Fourth Proportional to 206,019.95, 284,283.51 and 119,997.78

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Solution

The fourth proportional to 206,019.95, 284,283.51 and 119,997.78 is: 165,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,019.95 : 284,283.51 = 119,997.78 : x
  2. Step 2: Convert to fraction form
    206,019.95/284,283.51 = 119,997.78/x
  3. Step 3: Cross multiply
    206,019.95x = 284,283.51 × 119,997.78
  4. Step 4: Simplify right side
    206,019.95x = 34,113,390,090.61
  5. Step 5: Solve for x
    x = 34,113,390,090.61/206,019.95
  6. Step 6: Final answer
    x = 165,582.95

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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.