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Finding the Fourth Proportional to 206,165.53, 284,503.62 and 121,288.06

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Solution

The fourth proportional to 206,165.53, 284,503.62 and 121,288.06 is: 167,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,165.53 : 284,503.62 = 121,288.06 : x
  2. Step 2: Convert to fraction form
    206,165.53/284,503.62 = 121,288.06/x
  3. Step 3: Cross multiply
    206,165.53x = 284,503.62 × 121,288.06
  4. Step 4: Simplify right side
    206,165.53x = 34,506,892,132.78
  5. Step 5: Solve for x
    x = 34,506,892,132.78/206,165.53
  6. Step 6: Final answer
    x = 167,374.69

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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.