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Finding the Fourth Proportional to 282,117.80, 389,322.52 and 161,261.69

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Solution

The fourth proportional to 282,117.80, 389,322.52 and 161,261.69 is: 222,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,117.80 : 389,322.52 = 161,261.69 : x
  2. Step 2: Convert to fraction form
    282,117.80/389,322.52 = 161,261.69/x
  3. Step 3: Cross multiply
    282,117.80x = 389,322.52 × 161,261.69
  4. Step 4: Simplify right side
    282,117.80x = 62,782,805,180.49
  5. Step 5: Solve for x
    x = 62,782,805,180.49/282,117.80
  6. Step 6: Final answer
    x = 222,541.10

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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.