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Finding the Fourth Proportional to 101,101.28, 151,821.09 and 97,078.41

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Solution

The fourth proportional to 101,101.28, 151,821.09 and 97,078.41 is: 145,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,101.28 : 151,821.09 = 97,078.41 : x
  2. Step 2: Convert to fraction form
    101,101.28/151,821.09 = 97,078.41/x
  3. Step 3: Cross multiply
    101,101.28x = 151,821.09 × 97,078.41
  4. Step 4: Simplify right side
    101,101.28x = 14,738,550,021.67
  5. Step 5: Solve for x
    x = 14,738,550,021.67/101,101.28
  6. Step 6: Final answer
    x = 145,780.06

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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.