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Finding the Fourth Proportional to 282,230.28, 389,477.28 and 161,373.84

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Solution

The fourth proportional to 282,230.28, 389,477.28 and 161,373.84 is: 222,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,230.28 : 389,477.28 = 161,373.84 : x
  2. Step 2: Convert to fraction form
    282,230.28/389,477.28 = 161,373.84/x
  3. Step 3: Cross multiply
    282,230.28x = 389,477.28 × 161,373.84
  4. Step 4: Simplify right side
    282,230.28x = 62,851,444,266.36
  5. Step 5: Solve for x
    x = 62,851,444,266.36/282,230.28
  6. Step 6: Final answer
    x = 222,695.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.