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Finding the Fourth Proportional to 205,857.92, 284,154 and 121,000.16

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Solution

The fourth proportional to 205,857.92, 284,154 and 121,000.16 is: 167,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,857.92 : 284,154 = 121,000.16 : x
  2. Step 2: Convert to fraction form
    205,857.92/284,154 = 121,000.16/x
  3. Step 3: Cross multiply
    205,857.92x = 284,154 × 121,000.16
  4. Step 4: Simplify right side
    205,857.92x = 34,382,679,464.64
  5. Step 5: Solve for x
    x = 34,382,679,464.64/205,857.92
  6. Step 6: Final answer
    x = 167,021.41

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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.