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Finding the Fourth Proportional to 299,098.14, 448,692.02 and 96,626.59

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Solution

The fourth proportional to 299,098.14, 448,692.02 and 96,626.59 is: 144,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,098.14 : 448,692.02 = 96,626.59 : x
  2. Step 2: Convert to fraction form
    299,098.14/448,692.02 = 96,626.59/x
  3. Step 3: Cross multiply
    299,098.14x = 448,692.02 × 96,626.59
  4. Step 4: Simplify right side
    299,098.14x = 43,355,579,852.81
  5. Step 5: Solve for x
    x = 43,355,579,852.81/299,098.14
  6. Step 6: Final answer
    x = 144,954.36

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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.