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Finding the Fourth Proportional to 101,189.40, 151,784.10 and 71,640.60

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Solution

The fourth proportional to 101,189.40, 151,784.10 and 71,640.60 is: 107,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,189.40 : 151,784.10 = 71,640.60 : x
  2. Step 2: Convert to fraction form
    101,189.40/151,784.10 = 71,640.60/x
  3. Step 3: Cross multiply
    101,189.40x = 151,784.10 × 71,640.60
  4. Step 4: Simplify right side
    101,189.40x = 10,873,903,994.46
  5. Step 5: Solve for x
    x = 10,873,903,994.46/101,189.40
  6. Step 6: Final answer
    x = 107,460.90

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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.