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Finding the Fourth Proportional to 205,100.12, 282,959.25 and 128,485.88

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Solution

The fourth proportional to 205,100.12, 282,959.25 and 128,485.88 is: 177,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,100.12 : 282,959.25 = 128,485.88 : x
  2. Step 2: Convert to fraction form
    205,100.12/282,959.25 = 128,485.88/x
  3. Step 3: Cross multiply
    205,100.12x = 282,959.25 × 128,485.88
  4. Step 4: Simplify right side
    205,100.12x = 36,356,268,240.39
  5. Step 5: Solve for x
    x = 36,356,268,240.39/205,100.12
  6. Step 6: Final answer
    x = 177,261.08

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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.