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Finding the Fourth Proportional to 299,098.64, 448,692.77 and 96,627.09

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Solution

The fourth proportional to 299,098.64, 448,692.77 and 96,627.09 is: 144,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,098.64 : 448,692.77 = 96,627.09 : x
  2. Step 2: Convert to fraction form
    299,098.64/448,692.77 = 96,627.09/x
  3. Step 3: Cross multiply
    299,098.64x = 448,692.77 × 96,627.09
  4. Step 4: Simplify right side
    299,098.64x = 43,355,876,186.00
  5. Step 5: Solve for x
    x = 43,355,876,186.00/299,098.64
  6. Step 6: Final answer
    x = 144,955.11

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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.