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Finding the Fourth Proportional to 165,648.70, 248,475.21 and 47,323.90

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Solution

The fourth proportional to 165,648.70, 248,475.21 and 47,323.90 is: 70,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,648.70 : 248,475.21 = 47,323.90 : x
  2. Step 2: Convert to fraction form
    165,648.70/248,475.21 = 47,323.90/x
  3. Step 3: Cross multiply
    165,648.70x = 248,475.21 × 47,323.90
  4. Step 4: Simplify right side
    165,648.70x = 11,758,815,990.52
  5. Step 5: Solve for x
    x = 11,758,815,990.52/165,648.70
  6. Step 6: Final answer
    x = 70,986.47

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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.