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Finding the Fourth Proportional to 205,854.49, 284,079.16 and 115,210.45

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Solution

The fourth proportional to 205,854.49, 284,079.16 and 115,210.45 is: 158,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,854.49 : 284,079.16 = 115,210.45 : x
  2. Step 2: Convert to fraction form
    205,854.49/284,079.16 = 115,210.45/x
  3. Step 3: Cross multiply
    205,854.49x = 284,079.16 × 115,210.45
  4. Step 4: Simplify right side
    205,854.49x = 32,728,887,791.28
  5. Step 5: Solve for x
    x = 32,728,887,791.28/205,854.49
  6. Step 6: Final answer
    x = 158,990.40

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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.