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Finding the Fourth Proportional to 221,802.32, 332,835.24 and 81,659.36

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Solution

The fourth proportional to 221,802.32, 332,835.24 and 81,659.36 is: 122,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,802.32 : 332,835.24 = 81,659.36 : x
  2. Step 2: Convert to fraction form
    221,802.32/332,835.24 = 81,659.36/x
  3. Step 3: Cross multiply
    221,802.32x = 332,835.24 × 81,659.36
  4. Step 4: Simplify right side
    221,802.32x = 27,179,112,683.85
  5. Step 5: Solve for x
    x = 27,179,112,683.85/221,802.32
  6. Step 6: Final answer
    x = 122,537.55

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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.