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Finding the Fourth Proportional to 161,760.30, 242,640.45 and 83,028.30

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Solution

The fourth proportional to 161,760.30, 242,640.45 and 83,028.30 is: 124,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,760.30 : 242,640.45 = 83,028.30 : x
  2. Step 2: Convert to fraction form
    161,760.30/242,640.45 = 83,028.30/x
  3. Step 3: Cross multiply
    161,760.30x = 242,640.45 × 83,028.30
  4. Step 4: Simplify right side
    161,760.30x = 20,146,024,074.74
  5. Step 5: Solve for x
    x = 20,146,024,074.74/161,760.30
  6. Step 6: Final answer
    x = 124,542.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.