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Finding the Fourth Proportional to 130,604.40, 195,980.42 and 55,717.46

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Solution

The fourth proportional to 130,604.40, 195,980.42 and 55,717.46 is: 83,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,604.40 : 195,980.42 = 55,717.46 : x
  2. Step 2: Convert to fraction form
    130,604.40/195,980.42 = 55,717.46/x
  3. Step 3: Cross multiply
    130,604.40x = 195,980.42 × 55,717.46
  4. Step 4: Simplify right side
    130,604.40x = 10,919,531,212.13
  5. Step 5: Solve for x
    x = 10,919,531,212.13/130,604.40
  6. Step 6: Final answer
    x = 83,607.68

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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.