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Finding the Fourth Proportional to 192,765.20, 288,804.15 and 164,397.44

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Solution

The fourth proportional to 192,765.20, 288,804.15 and 164,397.44 is: 246,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,765.20 : 288,804.15 = 164,397.44 : x
  2. Step 2: Convert to fraction form
    192,765.20/288,804.15 = 164,397.44/x
  3. Step 3: Cross multiply
    192,765.20x = 288,804.15 × 164,397.44
  4. Step 4: Simplify right side
    192,765.20x = 47,478,662,921.38
  5. Step 5: Solve for x
    x = 47,478,662,921.38/192,765.20
  6. Step 6: Final answer
    x = 246,303.08

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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.