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Finding the Fourth Proportional to 299,158.82, 448,677.86 and 109,554.46

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Solution

The fourth proportional to 299,158.82, 448,677.86 and 109,554.46 is: 164,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,158.82 : 448,677.86 = 109,554.46 : x
  2. Step 2: Convert to fraction form
    299,158.82/448,677.86 = 109,554.46/x
  3. Step 3: Cross multiply
    299,158.82x = 448,677.86 × 109,554.46
  4. Step 4: Simplify right side
    299,158.82x = 49,154,659,818.45
  5. Step 5: Solve for x
    x = 49,154,659,818.45/299,158.82
  6. Step 6: Final answer
    x = 164,309.58

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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.