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Finding the Fourth Proportional to 161,583.20, 242,277.60 and 82,851.20

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Solution

The fourth proportional to 161,583.20, 242,277.60 and 82,851.20 is: 124,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,583.20 : 242,277.60 = 82,851.20 : x
  2. Step 2: Convert to fraction form
    161,583.20/242,277.60 = 82,851.20/x
  3. Step 3: Cross multiply
    161,583.20x = 242,277.60 × 82,851.20
  4. Step 4: Simplify right side
    161,583.20x = 20,072,989,893.12
  5. Step 5: Solve for x
    x = 20,072,989,893.12/161,583.20
  6. Step 6: Final answer
    x = 124,226.96

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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.