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Finding the Fourth Proportional to 299,066.78, 448,468.95 and 111,947.06

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Solution

The fourth proportional to 299,066.78, 448,468.95 and 111,947.06 is: 167,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,066.78 : 448,468.95 = 111,947.06 : x
  2. Step 2: Convert to fraction form
    299,066.78/448,468.95 = 111,947.06/x
  3. Step 3: Cross multiply
    299,066.78x = 448,468.95 × 111,947.06
  4. Step 4: Simplify right side
    299,066.78x = 50,204,781,994.76
  5. Step 5: Solve for x
    x = 50,204,781,994.76/299,066.78
  6. Step 6: Final answer
    x = 167,871.48

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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.