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Finding the Fourth Proportional to 253,811.43, 350,296.56 and 146,360.07

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Solution

The fourth proportional to 253,811.43, 350,296.56 and 146,360.07 is: 201,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,811.43 : 350,296.56 = 146,360.07 : x
  2. Step 2: Convert to fraction form
    253,811.43/350,296.56 = 146,360.07/x
  3. Step 3: Cross multiply
    253,811.43x = 350,296.56 × 146,360.07
  4. Step 4: Simplify right side
    253,811.43x = 51,269,429,042.36
  5. Step 5: Solve for x
    x = 51,269,429,042.36/253,811.43
  6. Step 6: Final answer
    x = 201,998.11

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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.