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Finding the Fourth Proportional to 229,664.76, 344,420.49 and 96,520.20

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Solution

The fourth proportional to 229,664.76, 344,420.49 and 96,520.20 is: 144,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,664.76 : 344,420.49 = 96,520.20 : x
  2. Step 2: Convert to fraction form
    229,664.76/344,420.49 = 96,520.20/x
  3. Step 3: Cross multiply
    229,664.76x = 344,420.49 × 96,520.20
  4. Step 4: Simplify right side
    229,664.76x = 33,243,534,578.90
  5. Step 5: Solve for x
    x = 33,243,534,578.90/229,664.76
  6. Step 6: Final answer
    x = 144,748.09

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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.