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Finding the Fourth Proportional to 205,838.88, 284,070.72 and 115,205.28

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Solution

The fourth proportional to 205,838.88, 284,070.72 and 115,205.28 is: 158,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,838.88 : 284,070.72 = 115,205.28 : x
  2. Step 2: Convert to fraction form
    205,838.88/284,070.72 = 115,205.28/x
  3. Step 3: Cross multiply
    205,838.88x = 284,070.72 × 115,205.28
  4. Step 4: Simplify right side
    205,838.88x = 32,726,446,837.40
  5. Step 5: Solve for x
    x = 32,726,446,837.40/205,838.88
  6. Step 6: Final answer
    x = 158,990.60

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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.