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Finding the Fourth Proportional to 130,891.56, 196,337.31 and 37,397.31

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Solution

The fourth proportional to 130,891.56, 196,337.31 and 37,397.31 is: 56,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,891.56 : 196,337.31 = 37,397.31 : x
  2. Step 2: Convert to fraction form
    130,891.56/196,337.31 = 37,397.31/x
  3. Step 3: Cross multiply
    130,891.56x = 196,337.31 × 37,397.31
  4. Step 4: Simplify right side
    130,891.56x = 7,342,487,246.64
  5. Step 5: Solve for x
    x = 7,342,487,246.64/130,891.56
  6. Step 6: Final answer
    x = 56,095.96

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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.