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Finding the Fourth Proportional to 130,659.90, 195,990.93 and 41,914.14

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Solution

The fourth proportional to 130,659.90, 195,990.93 and 41,914.14 is: 62,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,659.90 : 195,990.93 = 41,914.14 : x
  2. Step 2: Convert to fraction form
    130,659.90/195,990.93 = 41,914.14/x
  3. Step 3: Cross multiply
    130,659.90x = 195,990.93 × 41,914.14
  4. Step 4: Simplify right side
    130,659.90x = 8,214,791,278.75
  5. Step 5: Solve for x
    x = 8,214,791,278.75/130,659.90
  6. Step 6: Final answer
    x = 62,871.56

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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.