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Finding the Fourth Proportional to 220,083.45, 329,742.45 and 101,511.60

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Solution

The fourth proportional to 220,083.45, 329,742.45 and 101,511.60 is: 152,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,083.45 : 329,742.45 = 101,511.60 : x
  2. Step 2: Convert to fraction form
    220,083.45/329,742.45 = 101,511.60/x
  3. Step 3: Cross multiply
    220,083.45x = 329,742.45 × 101,511.60
  4. Step 4: Simplify right side
    220,083.45x = 33,472,683,687.42
  5. Step 5: Solve for x
    x = 33,472,683,687.42/220,083.45
  6. Step 6: Final answer
    x = 152,090.87

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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.