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Finding the Fourth Proportional to 202,620.86, 303,659.59 and 157,696.45

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Solution

The fourth proportional to 202,620.86, 303,659.59 and 157,696.45 is: 236,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,620.86 : 303,659.59 = 157,696.45 : x
  2. Step 2: Convert to fraction form
    202,620.86/303,659.59 = 157,696.45/x
  3. Step 3: Cross multiply
    202,620.86x = 303,659.59 × 157,696.45
  4. Step 4: Simplify right side
    202,620.86x = 47,886,039,351.46
  5. Step 5: Solve for x
    x = 47,886,039,351.46/202,620.86
  6. Step 6: Final answer
    x = 236,333.22

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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.