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Finding the Fourth Proportional to 299,164.92, 448,743.92 and 85,938.06

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Solution

The fourth proportional to 299,164.92, 448,743.92 and 85,938.06 is: 128,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,164.92 : 448,743.92 = 85,938.06 : x
  2. Step 2: Convert to fraction form
    299,164.92/448,743.92 = 85,938.06/x
  3. Step 3: Cross multiply
    299,164.92x = 448,743.92 × 85,938.06
  4. Step 4: Simplify right side
    299,164.92x = 38,564,179,248.19
  5. Step 5: Solve for x
    x = 38,564,179,248.19/299,164.92
  6. Step 6: Final answer
    x = 128,906.09

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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.