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Finding the Fourth Proportional to 164,998.20, 247,497.30 and 145,315.20

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Solution

The fourth proportional to 164,998.20, 247,497.30 and 145,315.20 is: 217,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,998.20 : 247,497.30 = 145,315.20 : x
  2. Step 2: Convert to fraction form
    164,998.20/247,497.30 = 145,315.20/x
  3. Step 3: Cross multiply
    164,998.20x = 247,497.30 × 145,315.20
  4. Step 4: Simplify right side
    164,998.20x = 35,965,119,648.96
  5. Step 5: Solve for x
    x = 35,965,119,648.96/164,998.20
  6. Step 6: Final answer
    x = 217,972.80

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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.