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Finding the Fourth Proportional to 130,792.50, 196,217.91 and 47,686.50

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Solution

The fourth proportional to 130,792.50, 196,217.91 and 47,686.50 is: 71,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,792.50 : 196,217.91 = 47,686.50 : x
  2. Step 2: Convert to fraction form
    130,792.50/196,217.91 = 47,686.50/x
  3. Step 3: Cross multiply
    130,792.50x = 196,217.91 × 47,686.50
  4. Step 4: Simplify right side
    130,792.50x = 9,356,945,365.22
  5. Step 5: Solve for x
    x = 9,356,945,365.22/130,792.50
  6. Step 6: Final answer
    x = 71,540.38

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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.