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Finding the Fourth Proportional to 130,487.76, 195,745.68 and 41,709.60

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Solution

The fourth proportional to 130,487.76, 195,745.68 and 41,709.60 is: 62,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,487.76 : 195,745.68 = 41,709.60 : x
  2. Step 2: Convert to fraction form
    130,487.76/195,745.68 = 41,709.60/x
  3. Step 3: Cross multiply
    130,487.76x = 195,745.68 × 41,709.60
  4. Step 4: Simplify right side
    130,487.76x = 8,164,474,014.53
  5. Step 5: Solve for x
    x = 8,164,474,014.53/130,487.76
  6. Step 6: Final answer
    x = 62,568.89

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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.