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Finding the Fourth Proportional to 282,203.40, 389,440.95 and 161,347.23

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Solution

The fourth proportional to 282,203.40, 389,440.95 and 161,347.23 is: 222,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,203.40 : 389,440.95 = 161,347.23 : x
  2. Step 2: Convert to fraction form
    282,203.40/389,440.95 = 161,347.23/x
  3. Step 3: Cross multiply
    282,203.40x = 389,440.95 × 161,347.23
  4. Step 4: Simplify right side
    282,203.40x = 62,835,218,531.07
  5. Step 5: Solve for x
    x = 62,835,218,531.07/282,203.40
  6. Step 6: Final answer
    x = 222,659.32

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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.