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Finding the Fourth Proportional to 235,299.56, 352,993.08 and 77,539.10

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Solution

The fourth proportional to 235,299.56, 352,993.08 and 77,539.10 is: 116,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,299.56 : 352,993.08 = 77,539.10 : x
  2. Step 2: Convert to fraction form
    235,299.56/352,993.08 = 77,539.10/x
  3. Step 3: Cross multiply
    235,299.56x = 352,993.08 × 77,539.10
  4. Step 4: Simplify right side
    235,299.56x = 27,370,765,729.43
  5. Step 5: Solve for x
    x = 27,370,765,729.43/235,299.56
  6. Step 6: Final answer
    x = 116,323.06

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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.