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Finding the Fourth Proportional to 202,615.83, 303,828.32 and 118,400.33

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Solution

The fourth proportional to 202,615.83, 303,828.32 and 118,400.33 is: 177,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,615.83 : 303,828.32 = 118,400.33 : x
  2. Step 2: Convert to fraction form
    202,615.83/303,828.32 = 118,400.33/x
  3. Step 3: Cross multiply
    202,615.83x = 303,828.32 × 118,400.33
  4. Step 4: Simplify right side
    202,615.83x = 35,973,374,406.92
  5. Step 5: Solve for x
    x = 35,973,374,406.92/202,615.83
  6. Step 6: Final answer
    x = 177,544.74

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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.