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Finding the Fourth Proportional to 165,567.56, 248,360.52 and 47,229.80

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Solution

The fourth proportional to 165,567.56, 248,360.52 and 47,229.80 is: 70,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,567.56 : 248,360.52 = 47,229.80 : x
  2. Step 2: Convert to fraction form
    165,567.56/248,360.52 = 47,229.80/x
  3. Step 3: Cross multiply
    165,567.56x = 248,360.52 × 47,229.80
  4. Step 4: Simplify right side
    165,567.56x = 11,730,017,687.50
  5. Step 5: Solve for x
    x = 11,730,017,687.50/165,567.56
  6. Step 6: Final answer
    x = 70,847.32

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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.