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Finding the Fourth Proportional to 207,047.14, 285,723.30 and 116,403.50

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Solution

The fourth proportional to 207,047.14, 285,723.30 and 116,403.50 is: 160,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,047.14 : 285,723.30 = 116,403.50 : x
  2. Step 2: Convert to fraction form
    207,047.14/285,723.30 = 116,403.50/x
  3. Step 3: Cross multiply
    207,047.14x = 285,723.30 × 116,403.50
  4. Step 4: Simplify right side
    207,047.14x = 33,259,192,151.55
  5. Step 5: Solve for x
    x = 33,259,192,151.55/207,047.14
  6. Step 6: Final answer
    x = 160,635.84

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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.