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Finding the Fourth Proportional to 130,214.76, 195,336.14 and 41,447.50

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Solution

The fourth proportional to 130,214.76, 195,336.14 and 41,447.50 is: 62,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,214.76 : 195,336.14 = 41,447.50 : x
  2. Step 2: Convert to fraction form
    130,214.76/195,336.14 = 41,447.50/x
  3. Step 3: Cross multiply
    130,214.76x = 195,336.14 × 41,447.50
  4. Step 4: Simplify right side
    130,214.76x = 8,096,194,200.21
  5. Step 5: Solve for x
    x = 8,096,194,200.21/130,214.76
  6. Step 6: Final answer
    x = 62,175.70

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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.