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Finding the Fourth Proportional to 282,194.32, 389,437.56 and 154,876.84

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Solution

The fourth proportional to 282,194.32, 389,437.56 and 154,876.84 is: 213,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,194.32 : 389,437.56 = 154,876.84 : x
  2. Step 2: Convert to fraction form
    282,194.32/389,437.56 = 154,876.84/x
  3. Step 3: Cross multiply
    282,194.32x = 389,437.56 × 154,876.84
  4. Step 4: Simplify right side
    282,194.32x = 60,314,858,670.11
  5. Step 5: Solve for x
    x = 60,314,858,670.11/282,194.32
  6. Step 6: Final answer
    x = 213,735.20

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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.