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Finding the Fourth Proportional to 133,081.78, 183,655.64 and 72,654.97

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Solution

The fourth proportional to 133,081.78, 183,655.64 and 72,654.97 is: 100,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,081.78 : 183,655.64 = 72,654.97 : x
  2. Step 2: Convert to fraction form
    133,081.78/183,655.64 = 72,654.97/x
  3. Step 3: Cross multiply
    133,081.78x = 183,655.64 × 72,654.97
  4. Step 4: Simplify right side
    133,081.78x = 13,343,495,014.53
  5. Step 5: Solve for x
    x = 13,343,495,014.53/133,081.78
  6. Step 6: Final answer
    x = 100,265.38

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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.