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Finding the Fourth Proportional to 161,883.94, 242,618.10 and 77,517.70

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Solution

The fourth proportional to 161,883.94, 242,618.10 and 77,517.70 is: 116,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,883.94 : 242,618.10 = 77,517.70 : x
  2. Step 2: Convert to fraction form
    161,883.94/242,618.10 = 77,517.70/x
  3. Step 3: Cross multiply
    161,883.94x = 242,618.10 × 77,517.70
  4. Step 4: Simplify right side
    161,883.94x = 18,807,197,090.37
  5. Step 5: Solve for x
    x = 18,807,197,090.37/161,883.94
  6. Step 6: Final answer
    x = 116,177.04

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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.