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Finding the Fourth Proportional to 130,444.73, 195,664.96 and 51,559.64

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Solution

The fourth proportional to 130,444.73, 195,664.96 and 51,559.64 is: 77,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,444.73 : 195,664.96 = 51,559.64 : x
  2. Step 2: Convert to fraction form
    130,444.73/195,664.96 = 51,559.64/x
  3. Step 3: Cross multiply
    130,444.73x = 195,664.96 × 51,559.64
  4. Step 4: Simplify right side
    130,444.73x = 10,088,413,662.09
  5. Step 5: Solve for x
    x = 10,088,413,662.09/130,444.73
  6. Step 6: Final answer
    x = 77,338.61

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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.