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Finding the Fourth Proportional to 282,100.65, 389,196.74 and 185,356.59

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Solution

The fourth proportional to 282,100.65, 389,196.74 and 185,356.59 is: 255,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,100.65 : 389,196.74 = 185,356.59 : x
  2. Step 2: Convert to fraction form
    282,100.65/389,196.74 = 185,356.59/x
  3. Step 3: Cross multiply
    282,100.65x = 389,196.74 × 185,356.59
  4. Step 4: Simplify right side
    282,100.65x = 72,140,179,638.73
  5. Step 5: Solve for x
    x = 72,140,179,638.73/282,100.65
  6. Step 6: Final answer
    x = 255,724.97

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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.