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Finding the Fourth Proportional to 206,328.54, 284,857.62 and 134,828.22

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Solution

The fourth proportional to 206,328.54, 284,857.62 and 134,828.22 is: 186,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,328.54 : 284,857.62 = 134,828.22 : x
  2. Step 2: Convert to fraction form
    206,328.54/284,857.62 = 134,828.22/x
  3. Step 3: Cross multiply
    206,328.54x = 284,857.62 × 134,828.22
  4. Step 4: Simplify right side
    206,328.54x = 38,406,845,858.04
  5. Step 5: Solve for x
    x = 38,406,845,858.04/206,328.54
  6. Step 6: Final answer
    x = 186,144.13

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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.