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Finding the Fourth Proportional to 221,656.63, 332,649.02 and 164,860.24

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Solution

The fourth proportional to 221,656.63, 332,649.02 and 164,860.24 is: 247,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,656.63 : 332,649.02 = 164,860.24 : x
  2. Step 2: Convert to fraction form
    221,656.63/332,649.02 = 164,860.24/x
  3. Step 3: Cross multiply
    221,656.63x = 332,649.02 × 164,860.24
  4. Step 4: Simplify right side
    221,656.63x = 54,840,597,272.96
  5. Step 5: Solve for x
    x = 54,840,597,272.96/221,656.63
  6. Step 6: Final answer
    x = 247,412.39

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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.