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Finding the Fourth Proportional to 97,722.20, 132,028.65 and 97,722.20

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Solution

The fourth proportional to 97,722.20, 132,028.65 and 97,722.20 is: 132,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,722.20 : 132,028.65 = 97,722.20 : x
  2. Step 2: Convert to fraction form
    97,722.20/132,028.65 = 97,722.20/x
  3. Step 3: Cross multiply
    97,722.20x = 132,028.65 × 97,722.20
  4. Step 4: Simplify right side
    97,722.20x = 12,902,130,141.03
  5. Step 5: Solve for x
    x = 12,902,130,141.03/97,722.20
  6. Step 6: Final answer
    x = 132,028.65

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.