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Finding the Fourth Proportional to 269,253.60, 403,102.80 and 164,277.60

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Solution

The fourth proportional to 269,253.60, 403,102.80 and 164,277.60 is: 245,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,253.60 : 403,102.80 = 164,277.60 : x
  2. Step 2: Convert to fraction form
    269,253.60/403,102.80 = 164,277.60/x
  3. Step 3: Cross multiply
    269,253.60x = 403,102.80 × 164,277.60
  4. Step 4: Simplify right side
    269,253.60x = 66,220,760,537.28
  5. Step 5: Solve for x
    x = 66,220,760,537.28/269,253.60
  6. Step 6: Final answer
    x = 245,941.97

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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.