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Finding the Fourth Proportional to 269,564.40, 404,346.60 and 92,055.60

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Solution

The fourth proportional to 269,564.40, 404,346.60 and 92,055.60 is: 138,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,564.40 : 404,346.60 = 92,055.60 : x
  2. Step 2: Convert to fraction form
    269,564.40/404,346.60 = 92,055.60/x
  3. Step 3: Cross multiply
    269,564.40x = 404,346.60 × 92,055.60
  4. Step 4: Simplify right side
    269,564.40x = 37,222,368,870.96
  5. Step 5: Solve for x
    x = 37,222,368,870.96/269,564.40
  6. Step 6: Final answer
    x = 138,083.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.