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Finding the Fourth Proportional to 165,810.44, 248,764.30 and 53,488.44

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Solution

The fourth proportional to 165,810.44, 248,764.30 and 53,488.44 is: 80,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,810.44 : 248,764.30 = 53,488.44 : x
  2. Step 2: Convert to fraction form
    165,810.44/248,764.30 = 53,488.44/x
  3. Step 3: Cross multiply
    165,810.44x = 248,764.30 × 53,488.44
  4. Step 4: Simplify right side
    165,810.44x = 13,306,014,334.69
  5. Step 5: Solve for x
    x = 13,306,014,334.69/165,810.44
  6. Step 6: Final answer
    x = 80,248.35

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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.