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Finding the Fourth Proportional to 157,309.31, 235,908.39 and 50,689.01

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Solution

The fourth proportional to 157,309.31, 235,908.39 and 50,689.01 is: 76,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,309.31 : 235,908.39 = 50,689.01 : x
  2. Step 2: Convert to fraction form
    157,309.31/235,908.39 = 50,689.01/x
  3. Step 3: Cross multiply
    157,309.31x = 235,908.39 × 50,689.01
  4. Step 4: Simplify right side
    157,309.31x = 11,957,962,739.79
  5. Step 5: Solve for x
    x = 11,957,962,739.79/157,309.31
  6. Step 6: Final answer
    x = 76,015.61

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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.