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Finding the Fourth Proportional to 165,885.20, 248,827.80 and 41,226.20

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Solution

The fourth proportional to 165,885.20, 248,827.80 and 41,226.20 is: 61,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,885.20 : 248,827.80 = 41,226.20 : x
  2. Step 2: Convert to fraction form
    165,885.20/248,827.80 = 41,226.20/x
  3. Step 3: Cross multiply
    165,885.20x = 248,827.80 × 41,226.20
  4. Step 4: Simplify right side
    165,885.20x = 10,258,224,648.36
  5. Step 5: Solve for x
    x = 10,258,224,648.36/165,885.20
  6. Step 6: Final answer
    x = 61,839.30

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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.