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Finding the Fourth Proportional to 165,699.84, 228,593.01 and 111,965.25

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Solution

The fourth proportional to 165,699.84, 228,593.01 and 111,965.25 is: 154,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,699.84 : 228,593.01 = 111,965.25 : x
  2. Step 2: Convert to fraction form
    165,699.84/228,593.01 = 111,965.25/x
  3. Step 3: Cross multiply
    165,699.84x = 228,593.01 × 111,965.25
  4. Step 4: Simplify right side
    165,699.84x = 25,594,473,512.90
  5. Step 5: Solve for x
    x = 25,594,473,512.90/165,699.84
  6. Step 6: Final answer
    x = 154,462.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.