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Finding the Fourth Proportional to 114,404.38, 157,878.08 and 69,692.38

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Solution

The fourth proportional to 114,404.38, 157,878.08 and 69,692.38 is: 96,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,404.38 : 157,878.08 = 69,692.38 : x
  2. Step 2: Convert to fraction form
    114,404.38/157,878.08 = 69,692.38/x
  3. Step 3: Cross multiply
    114,404.38x = 157,878.08 × 69,692.38
  4. Step 4: Simplify right side
    114,404.38x = 11,002,899,145.03
  5. Step 5: Solve for x
    x = 11,002,899,145.03/114,404.38
  6. Step 6: Final answer
    x = 96,175.51

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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.