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Finding the Fourth Proportional to 282,268.44, 389,518.20 and 154,946.16

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Solution

The fourth proportional to 282,268.44, 389,518.20 and 154,946.16 is: 213,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,268.44 : 389,518.20 = 154,946.16 : x
  2. Step 2: Convert to fraction form
    282,268.44/389,518.20 = 154,946.16/x
  3. Step 3: Cross multiply
    282,268.44x = 389,518.20 × 154,946.16
  4. Step 4: Simplify right side
    282,268.44x = 60,354,349,340.11
  5. Step 5: Solve for x
    x = 60,354,349,340.11/282,268.44
  6. Step 6: Final answer
    x = 213,818.98

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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.