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Finding the Fourth Proportional to 133,862.61, 184,729.84 and 82,865.17

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Solution

The fourth proportional to 133,862.61, 184,729.84 and 82,865.17 is: 114,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,862.61 : 184,729.84 = 82,865.17 : x
  2. Step 2: Convert to fraction form
    133,862.61/184,729.84 = 82,865.17/x
  3. Step 3: Cross multiply
    133,862.61x = 184,729.84 × 82,865.17
  4. Step 4: Simplify right side
    133,862.61x = 15,307,669,595.67
  5. Step 5: Solve for x
    x = 15,307,669,595.67/133,862.61
  6. Step 6: Final answer
    x = 114,353.59

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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.