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Finding the Fourth Proportional to 133,097.52, 183,672.15 and 75,735.60

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Solution

The fourth proportional to 133,097.52, 183,672.15 and 75,735.60 is: 104,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097.52 : 183,672.15 = 75,735.60 : x
  2. Step 2: Convert to fraction form
    133,097.52/183,672.15 = 75,735.60/x
  3. Step 3: Cross multiply
    133,097.52x = 183,672.15 × 75,735.60
  4. Step 4: Simplify right side
    133,097.52x = 13,910,520,483.54
  5. Step 5: Solve for x
    x = 13,910,520,483.54/133,097.52
  6. Step 6: Final answer
    x = 104,513.75

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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.