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Finding the Fourth Proportional to 202,617.71, 303,654.89 and 157,693.32

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Solution

The fourth proportional to 202,617.71, 303,654.89 and 157,693.32 is: 236,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,617.71 : 303,654.89 = 157,693.32 : x
  2. Step 2: Convert to fraction form
    202,617.71/303,654.89 = 157,693.32/x
  3. Step 3: Cross multiply
    202,617.71x = 303,654.89 × 157,693.32
  4. Step 4: Simplify right side
    202,617.71x = 47,884,346,949.87
  5. Step 5: Solve for x
    x = 47,884,346,949.87/202,617.71
  6. Step 6: Final answer
    x = 236,328.54

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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.