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Finding the Fourth Proportional to 133,155.42, 183,747.03 and 75,808.71

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Solution

The fourth proportional to 133,155.42, 183,747.03 and 75,808.71 is: 104,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,155.42 : 183,747.03 = 75,808.71 : x
  2. Step 2: Convert to fraction form
    133,155.42/183,747.03 = 75,808.71/x
  3. Step 3: Cross multiply
    133,155.42x = 183,747.03 × 75,808.71
  4. Step 4: Simplify right side
    133,155.42x = 13,929,625,310.63
  5. Step 5: Solve for x
    x = 13,929,625,310.63/133,155.42
  6. Step 6: Final answer
    x = 104,611.78

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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.