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Finding the Fourth Proportional to 110,967, 153,135 and 60,666

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Solution

The fourth proportional to 110,967, 153,135 and 60,666 is: 83,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,967 : 153,135 = 60,666 : x
  2. Step 2: Convert to fraction form
    110,967/153,135 = 60,666/x
  3. Step 3: Cross multiply
    110,967x = 153,135 × 60,666
  4. Step 4: Simplify right side
    110,967x = 9,290,087,910
  5. Step 5: Solve for x
    x = 9,290,087,910/110,967
  6. Step 6: Final answer
    x = 83,719.38

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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.