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Finding the Fourth Proportional to 130,170.78, 195,369.48 and 74,123.64

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Solution

The fourth proportional to 130,170.78, 195,369.48 and 74,123.64 is: 111,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,170.78 : 195,369.48 = 74,123.64 : x
  2. Step 2: Convert to fraction form
    130,170.78/195,369.48 = 74,123.64/x
  3. Step 3: Cross multiply
    130,170.78x = 195,369.48 × 74,123.64
  4. Step 4: Simplify right side
    130,170.78x = 14,481,497,002.51
  5. Step 5: Solve for x
    x = 14,481,497,002.51/130,170.78
  6. Step 6: Final answer
    x = 111,249.98

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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.