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Finding the Fourth Proportional to 165,878.40, 248,742.72 and 47,522.64

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Solution

The fourth proportional to 165,878.40, 248,742.72 and 47,522.64 is: 71,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,878.40 : 248,742.72 = 47,522.64 : x
  2. Step 2: Convert to fraction form
    165,878.40/248,742.72 = 47,522.64/x
  3. Step 3: Cross multiply
    165,878.40x = 248,742.72 × 47,522.64
  4. Step 4: Simplify right side
    165,878.40x = 11,820,910,735.18
  5. Step 5: Solve for x
    x = 11,820,910,735.18/165,878.40
  6. Step 6: Final answer
    x = 71,262.51

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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.