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Finding the Fourth Proportional to 253,983.94, 350,499.22 and 146,558.50

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Solution

The fourth proportional to 253,983.94, 350,499.22 and 146,558.50 is: 202,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,983.94 : 350,499.22 = 146,558.50 : x
  2. Step 2: Convert to fraction form
    253,983.94/350,499.22 = 146,558.50/x
  3. Step 3: Cross multiply
    253,983.94x = 350,499.22 × 146,558.50
  4. Step 4: Simplify right side
    253,983.94x = 51,368,639,934.37
  5. Step 5: Solve for x
    x = 51,368,639,934.37/253,983.94
  6. Step 6: Final answer
    x = 202,251.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.