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Finding the Fourth Proportional to 165,740, 248,648.88 and 54,932

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Solution

The fourth proportional to 165,740, 248,648.88 and 54,932 is: 82,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,740 : 248,648.88 = 54,932 : x
  2. Step 2: Convert to fraction form
    165,740/248,648.88 = 54,932/x
  3. Step 3: Cross multiply
    165,740x = 248,648.88 × 54,932
  4. Step 4: Simplify right side
    165,740x = 13,658,780,276.16
  5. Step 5: Solve for x
    x = 13,658,780,276.16/165,740
  6. Step 6: Final answer
    x = 82,410.89

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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.