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Finding the Fourth Proportional to 236,593.08, 354,488.64 and 142,902

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Solution

The fourth proportional to 236,593.08, 354,488.64 and 142,902 is: 214,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,593.08 : 354,488.64 = 142,902 : x
  2. Step 2: Convert to fraction form
    236,593.08/354,488.64 = 142,902/x
  3. Step 3: Cross multiply
    236,593.08x = 354,488.64 × 142,902
  4. Step 4: Simplify right side
    236,593.08x = 50,657,135,633.28
  5. Step 5: Solve for x
    x = 50,657,135,633.28/236,593.08
  6. Step 6: Final answer
    x = 214,110.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.