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Finding the Fourth Proportional to 130,318.56, 195,511.56 and 36,824.31

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Solution

The fourth proportional to 130,318.56, 195,511.56 and 36,824.31 is: 55,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,318.56 : 195,511.56 = 36,824.31 : x
  2. Step 2: Convert to fraction form
    130,318.56/195,511.56 = 36,824.31/x
  3. Step 3: Cross multiply
    130,318.56x = 195,511.56 × 36,824.31
  4. Step 4: Simplify right side
    130,318.56x = 7,199,578,294.02
  5. Step 5: Solve for x
    x = 7,199,578,294.02/130,318.56
  6. Step 6: Final answer
    x = 55,245.99

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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.