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Finding the Fourth Proportional to 100,202.24, 149,587.01 and 96,697.76

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Solution

The fourth proportional to 100,202.24, 149,587.01 and 96,697.76 is: 144,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202.24 : 149,587.01 = 96,697.76 : x
  2. Step 2: Convert to fraction form
    100,202.24/149,587.01 = 96,697.76/x
  3. Step 3: Cross multiply
    100,202.24x = 149,587.01 × 96,697.76
  4. Step 4: Simplify right side
    100,202.24x = 14,464,728,792.10
  5. Step 5: Solve for x
    x = 14,464,728,792.10/100,202.24
  6. Step 6: Final answer
    x = 144,355.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.