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Finding the Fourth Proportional to 130,459.54, 195,691.11 and 36,965.20

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Solution

The fourth proportional to 130,459.54, 195,691.11 and 36,965.20 is: 55,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,459.54 : 195,691.11 = 36,965.20 : x
  2. Step 2: Convert to fraction form
    130,459.54/195,691.11 = 36,965.20/x
  3. Step 3: Cross multiply
    130,459.54x = 195,691.11 × 36,965.20
  4. Step 4: Simplify right side
    130,459.54x = 7,233,761,019.37
  5. Step 5: Solve for x
    x = 7,233,761,019.37/130,459.54
  6. Step 6: Final answer
    x = 55,448.31

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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.