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Finding the Fourth Proportional to 493,105.59, 739,601.01 and 133,259.40

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Solution

The fourth proportional to 493,105.59, 739,601.01 and 133,259.40 is: 199,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,105.59 : 739,601.01 = 133,259.40 : x
  2. Step 2: Convert to fraction form
    493,105.59/739,601.01 = 133,259.40/x
  3. Step 3: Cross multiply
    493,105.59x = 739,601.01 × 133,259.40
  4. Step 4: Simplify right side
    493,105.59x = 98,558,786,831.99
  5. Step 5: Solve for x
    x = 98,558,786,831.99/493,105.59
  6. Step 6: Final answer
    x = 199,873.59

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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.