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Finding the Fourth Proportional to 282,164.31, 389,386.64 and 161,308.16

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Solution

The fourth proportional to 282,164.31, 389,386.64 and 161,308.16 is: 222,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,164.31 : 389,386.64 = 161,308.16 : x
  2. Step 2: Convert to fraction form
    282,164.31/389,386.64 = 161,308.16/x
  3. Step 3: Cross multiply
    282,164.31x = 389,386.64 × 161,308.16
  4. Step 4: Simplify right side
    282,164.31x = 62,811,242,343.52
  5. Step 5: Solve for x
    x = 62,811,242,343.52/282,164.31
  6. Step 6: Final answer
    x = 222,605.20

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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.