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Finding the Fourth Proportional to 130,098.42, 195,014.71 and 73,819.64

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Solution

The fourth proportional to 130,098.42, 195,014.71 and 73,819.64 is: 110,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,098.42 : 195,014.71 = 73,819.64 : x
  2. Step 2: Convert to fraction form
    130,098.42/195,014.71 = 73,819.64/x
  3. Step 3: Cross multiply
    130,098.42x = 195,014.71 × 73,819.64
  4. Step 4: Simplify right side
    130,098.42x = 14,395,914,754.52
  5. Step 5: Solve for x
    x = 14,395,914,754.52/130,098.42
  6. Step 6: Final answer
    x = 110,654.03

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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.