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Finding the Fourth Proportional to 207,211.54, 285,928.76 and 116,565.63

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Solution

The fourth proportional to 207,211.54, 285,928.76 and 116,565.63 is: 160,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,211.54 : 285,928.76 = 116,565.63 : x
  2. Step 2: Convert to fraction form
    207,211.54/285,928.76 = 116,565.63/x
  3. Step 3: Cross multiply
    207,211.54x = 285,928.76 × 116,565.63
  4. Step 4: Simplify right side
    207,211.54x = 33,329,466,544.21
  5. Step 5: Solve for x
    x = 33,329,466,544.21/207,211.54
  6. Step 6: Final answer
    x = 160,847.54

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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.