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Finding the Fourth Proportional to 133,732.22, 184,549.39 and 77,142.38

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Solution

The fourth proportional to 133,732.22, 184,549.39 and 77,142.38 is: 106,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,732.22 : 184,549.39 = 77,142.38 : x
  2. Step 2: Convert to fraction form
    133,732.22/184,549.39 = 77,142.38/x
  3. Step 3: Cross multiply
    133,732.22x = 184,549.39 × 77,142.38
  4. Step 4: Simplify right side
    133,732.22x = 14,236,578,056.55
  5. Step 5: Solve for x
    x = 14,236,578,056.55/133,732.22
  6. Step 6: Final answer
    x = 106,455.86

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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.