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Finding the Fourth Proportional to 288,257.71, 432,650.19 and 146,201.04

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Solution

The fourth proportional to 288,257.71, 432,650.19 and 146,201.04 is: 219,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,257.71 : 432,650.19 = 146,201.04 : x
  2. Step 2: Convert to fraction form
    288,257.71/432,650.19 = 146,201.04/x
  3. Step 3: Cross multiply
    288,257.71x = 432,650.19 × 146,201.04
  4. Step 4: Simplify right side
    288,257.71x = 63,253,906,459.30
  5. Step 5: Solve for x
    x = 63,253,906,459.30/288,257.71
  6. Step 6: Final answer
    x = 219,435.27

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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.