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Finding the Fourth Proportional to 282,162.24, 389,368.38 and 154,827.78

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Solution

The fourth proportional to 282,162.24, 389,368.38 and 154,827.78 is: 213,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,162.24 : 389,368.38 = 154,827.78 : x
  2. Step 2: Convert to fraction form
    282,162.24/389,368.38 = 154,827.78/x
  3. Step 3: Cross multiply
    282,162.24x = 389,368.38 × 154,827.78
  4. Step 4: Simplify right side
    282,162.24x = 60,285,041,877.60
  5. Step 5: Solve for x
    x = 60,285,041,877.60/282,162.24
  6. Step 6: Final answer
    x = 213,653.83

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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.