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Finding the Fourth Proportional to 185,647.84, 256,133.04 and 105,067.36

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Solution

The fourth proportional to 185,647.84, 256,133.04 and 105,067.36 is: 144,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,647.84 : 256,133.04 = 105,067.36 : x
  2. Step 2: Convert to fraction form
    185,647.84/256,133.04 = 105,067.36/x
  3. Step 3: Cross multiply
    185,647.84x = 256,133.04 × 105,067.36
  4. Step 4: Simplify right side
    185,647.84x = 26,911,222,321.57
  5. Step 5: Solve for x
    x = 26,911,222,321.57/185,647.84
  6. Step 6: Final answer
    x = 144,958.45

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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.