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Finding the Fourth Proportional to 282,425.25, 389,781.42 and 163,193.25

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Solution

The fourth proportional to 282,425.25, 389,781.42 and 163,193.25 is: 225,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,425.25 : 389,781.42 = 163,193.25 : x
  2. Step 2: Convert to fraction form
    282,425.25/389,781.42 = 163,193.25/x
  3. Step 3: Cross multiply
    282,425.25x = 389,781.42 × 163,193.25
  4. Step 4: Simplify right side
    282,425.25x = 63,609,696,719.42
  5. Step 5: Solve for x
    x = 63,609,696,719.42/282,425.25
  6. Step 6: Final answer
    x = 225,226.66

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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.