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Finding the Fourth Proportional to 122,833.55, 184,248.24 and 55,328.03

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Solution

The fourth proportional to 122,833.55, 184,248.24 and 55,328.03 is: 82,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,833.55 : 184,248.24 = 55,328.03 : x
  2. Step 2: Convert to fraction form
    122,833.55/184,248.24 = 55,328.03/x
  3. Step 3: Cross multiply
    122,833.55x = 184,248.24 × 55,328.03
  4. Step 4: Simplify right side
    122,833.55x = 10,194,092,150.17
  5. Step 5: Solve for x
    x = 10,194,092,150.17/122,833.55
  6. Step 6: Final answer
    x = 82,991.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.