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Finding the Fourth Proportional to 165,438.68, 248,269.20 and 164,829.98

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Solution

The fourth proportional to 165,438.68, 248,269.20 and 164,829.98 is: 247,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,438.68 : 248,269.20 = 164,829.98 : x
  2. Step 2: Convert to fraction form
    165,438.68/248,269.20 = 164,829.98/x
  3. Step 3: Cross multiply
    165,438.68x = 248,269.20 × 164,829.98
  4. Step 4: Simplify right side
    165,438.68x = 40,922,207,270.62
  5. Step 5: Solve for x
    x = 40,922,207,270.62/165,438.68
  6. Step 6: Final answer
    x = 247,355.74

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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.