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Finding the Fourth Proportional to 133,098.02, 183,672.84 and 75,736.10

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Solution

The fourth proportional to 133,098.02, 183,672.84 and 75,736.10 is: 104,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098.02 : 183,672.84 = 75,736.10 : x
  2. Step 2: Convert to fraction form
    133,098.02/183,672.84 = 75,736.10/x
  3. Step 3: Cross multiply
    133,098.02x = 183,672.84 × 75,736.10
  4. Step 4: Simplify right side
    133,098.02x = 13,910,664,577.52
  5. Step 5: Solve for x
    x = 13,910,664,577.52/133,098.02
  6. Step 6: Final answer
    x = 104,514.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.