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Finding the Fourth Proportional to 299,044.70, 448,564.92 and 109,518.06

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Solution

The fourth proportional to 299,044.70, 448,564.92 and 109,518.06 is: 164,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,044.70 : 448,564.92 = 109,518.06 : x
  2. Step 2: Convert to fraction form
    299,044.70/448,564.92 = 109,518.06/x
  3. Step 3: Cross multiply
    299,044.70x = 448,564.92 × 109,518.06
  4. Step 4: Simplify right side
    299,044.70x = 49,125,959,822.46
  5. Step 5: Solve for x
    x = 49,125,959,822.46/299,044.70
  6. Step 6: Final answer
    x = 164,276.31

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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.