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Finding the Fourth Proportional to 269,507.36, 404,262 and 82,518.08

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Solution

The fourth proportional to 269,507.36, 404,262 and 82,518.08 is: 123,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,507.36 : 404,262 = 82,518.08 : x
  2. Step 2: Convert to fraction form
    269,507.36/404,262 = 82,518.08/x
  3. Step 3: Cross multiply
    269,507.36x = 404,262 × 82,518.08
  4. Step 4: Simplify right side
    269,507.36x = 33,358,924,056.96
  5. Step 5: Solve for x
    x = 33,358,924,056.96/269,507.36
  6. Step 6: Final answer
    x = 123,777.41

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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.