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Finding the Fourth Proportional to 133,101.77, 183,680.82 and 72,672.93

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Solution

The fourth proportional to 133,101.77, 183,680.82 and 72,672.93 is: 100,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,101.77 : 183,680.82 = 72,672.93 : x
  2. Step 2: Convert to fraction form
    133,101.77/183,680.82 = 72,672.93/x
  3. Step 3: Cross multiply
    133,101.77x = 183,680.82 × 72,672.93
  4. Step 4: Simplify right side
    133,101.77x = 13,348,623,374.20
  5. Step 5: Solve for x
    x = 13,348,623,374.20/133,101.77
  6. Step 6: Final answer
    x = 100,288.85

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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.