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Finding the Fourth Proportional to 206,122.82, 284,457.65 and 115,479.53

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Solution

The fourth proportional to 206,122.82, 284,457.65 and 115,479.53 is: 159,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,122.82 : 284,457.65 = 115,479.53 : x
  2. Step 2: Convert to fraction form
    206,122.82/284,457.65 = 115,479.53/x
  3. Step 3: Cross multiply
    206,122.82x = 284,457.65 × 115,479.53
  4. Step 4: Simplify right side
    206,122.82x = 32,849,033,727.22
  5. Step 5: Solve for x
    x = 32,849,033,727.22/206,122.82
  6. Step 6: Final answer
    x = 159,366.32

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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.