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Finding the Fourth Proportional to 165,649.68, 248,432.76 and 47,321.64

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Solution

The fourth proportional to 165,649.68, 248,432.76 and 47,321.64 is: 70,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,649.68 : 248,432.76 = 47,321.64 : x
  2. Step 2: Convert to fraction form
    165,649.68/248,432.76 = 47,321.64/x
  3. Step 3: Cross multiply
    165,649.68x = 248,432.76 × 47,321.64
  4. Step 4: Simplify right side
    165,649.68x = 11,756,245,632.93
  5. Step 5: Solve for x
    x = 11,756,245,632.93/165,649.68
  6. Step 6: Final answer
    x = 70,970.53

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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.