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Finding the Fourth Proportional to 295,207.52, 407,386.14 and 161,071.52

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Solution

The fourth proportional to 295,207.52, 407,386.14 and 161,071.52 is: 222,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,207.52 : 407,386.14 = 161,071.52 : x
  2. Step 2: Convert to fraction form
    295,207.52/407,386.14 = 161,071.52/x
  3. Step 3: Cross multiply
    295,207.52x = 407,386.14 × 161,071.52
  4. Step 4: Simplify right side
    295,207.52x = 65,618,304,796.73
  5. Step 5: Solve for x
    x = 65,618,304,796.73/295,207.52
  6. Step 6: Final answer
    x = 222,278.57

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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.