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Finding the Fourth Proportional to 300,869.48, 415,203.14 and 164,900.50

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Solution

The fourth proportional to 300,869.48, 415,203.14 and 164,900.50 is: 227,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,869.48 : 415,203.14 = 164,900.50 : x
  2. Step 2: Convert to fraction form
    300,869.48/415,203.14 = 164,900.50/x
  3. Step 3: Cross multiply
    300,869.48x = 415,203.14 × 164,900.50
  4. Step 4: Simplify right side
    300,869.48x = 68,467,205,387.57
  5. Step 5: Solve for x
    x = 68,467,205,387.57/300,869.48
  6. Step 6: Final answer
    x = 227,564.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.