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Finding the Fourth Proportional to 111,165.90, 153,408.78 and 60,178.38

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Solution

The fourth proportional to 111,165.90, 153,408.78 and 60,178.38 is: 83,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,165.90 : 153,408.78 = 60,178.38 : x
  2. Step 2: Convert to fraction form
    111,165.90/153,408.78 = 60,178.38/x
  3. Step 3: Cross multiply
    111,165.90x = 153,408.78 × 60,178.38
  4. Step 4: Simplify right side
    111,165.90x = 9,231,891,858.18
  5. Step 5: Solve for x
    x = 9,231,891,858.18/111,165.90
  6. Step 6: Final answer
    x = 83,046.08

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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.