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Finding the Fourth Proportional to 130,226.26, 195,346.95 and 50,264.68

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Solution

The fourth proportional to 130,226.26, 195,346.95 and 50,264.68 is: 75,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,226.26 : 195,346.95 = 50,264.68 : x
  2. Step 2: Convert to fraction form
    130,226.26/195,346.95 = 50,264.68/x
  3. Step 3: Cross multiply
    130,226.26x = 195,346.95 × 50,264.68
  4. Step 4: Simplify right side
    130,226.26x = 9,819,051,070.73
  5. Step 5: Solve for x
    x = 9,819,051,070.73/130,226.26
  6. Step 6: Final answer
    x = 75,399.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.