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Finding the Fourth Proportional to 207,043.14, 285,717.80 and 116,399.50

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Solution

The fourth proportional to 207,043.14, 285,717.80 and 116,399.50 is: 160,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,043.14 : 285,717.80 = 116,399.50 : x
  2. Step 2: Convert to fraction form
    207,043.14/285,717.80 = 116,399.50/x
  3. Step 3: Cross multiply
    207,043.14x = 285,717.80 × 116,399.50
  4. Step 4: Simplify right side
    207,043.14x = 33,257,409,061.10
  5. Step 5: Solve for x
    x = 33,257,409,061.10/207,043.14
  6. Step 6: Final answer
    x = 160,630.34

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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.