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Finding the Fourth Proportional to 192,477.60, 288,388.35 and 164,265.30

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Solution

The fourth proportional to 192,477.60, 288,388.35 and 164,265.30 is: 246,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,477.60 : 288,388.35 = 164,265.30 : x
  2. Step 2: Convert to fraction form
    192,477.60/288,388.35 = 164,265.30/x
  3. Step 3: Cross multiply
    192,477.60x = 288,388.35 × 164,265.30
  4. Step 4: Simplify right side
    192,477.60x = 47,372,198,829.26
  5. Step 5: Solve for x
    x = 47,372,198,829.26/192,477.60
  6. Step 6: Final answer
    x = 246,117.98

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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.