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Finding the Fourth Proportional to 74,084.50, 102,200.14 and 50,218.66

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Solution

The fourth proportional to 74,084.50, 102,200.14 and 50,218.66 is: 69,277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,084.50 : 102,200.14 = 50,218.66 : x
  2. Step 2: Convert to fraction form
    74,084.50/102,200.14 = 50,218.66/x
  3. Step 3: Cross multiply
    74,084.50x = 102,200.14 × 50,218.66
  4. Step 4: Simplify right side
    74,084.50x = 5,132,354,082.61
  5. Step 5: Solve for x
    x = 5,132,354,082.61/74,084.50
  6. Step 6: Final answer
    x = 69,277.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.