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Finding the Fourth Proportional to 130,575.31, 195,891.16 and 40,616.31

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Solution

The fourth proportional to 130,575.31, 195,891.16 and 40,616.31 is: 60,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,575.31 : 195,891.16 = 40,616.31 : x
  2. Step 2: Convert to fraction form
    130,575.31/195,891.16 = 40,616.31/x
  3. Step 3: Cross multiply
    130,575.31x = 195,891.16 × 40,616.31
  4. Step 4: Simplify right side
    130,575.31x = 7,956,376,182.36
  5. Step 5: Solve for x
    x = 7,956,376,182.36/130,575.31
  6. Step 6: Final answer
    x = 60,933.24

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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.