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Finding the Fourth Proportional to 130,415.82, 195,506.37 and 47,251.50

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Solution

The fourth proportional to 130,415.82, 195,506.37 and 47,251.50 is: 70,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,415.82 : 195,506.37 = 47,251.50 : x
  2. Step 2: Convert to fraction form
    130,415.82/195,506.37 = 47,251.50/x
  3. Step 3: Cross multiply
    130,415.82x = 195,506.37 × 47,251.50
  4. Step 4: Simplify right side
    130,415.82x = 9,237,969,242.06
  5. Step 5: Solve for x
    x = 9,237,969,242.06/130,415.82
  6. Step 6: Final answer
    x = 70,834.73

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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.