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Finding the Fourth Proportional to 165,534, 248,339.88 and 54,726

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Solution

The fourth proportional to 165,534, 248,339.88 and 54,726 is: 82,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,534 : 248,339.88 = 54,726 : x
  2. Step 2: Convert to fraction form
    165,534/248,339.88 = 54,726/x
  3. Step 3: Cross multiply
    165,534x = 248,339.88 × 54,726
  4. Step 4: Simplify right side
    165,534x = 13,590,648,272.88
  5. Step 5: Solve for x
    x = 13,590,648,272.88/165,534
  6. Step 6: Final answer
    x = 82,101.85

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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.