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Finding the Fourth Proportional to 110,406, 152,360.64 and 60,105.36

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Solution

The fourth proportional to 110,406, 152,360.64 and 60,105.36 is: 82,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,406 : 152,360.64 = 60,105.36 : x
  2. Step 2: Convert to fraction form
    110,406/152,360.64 = 60,105.36/x
  3. Step 3: Cross multiply
    110,406x = 152,360.64 × 60,105.36
  4. Step 4: Simplify right side
    110,406x = 9,157,691,117.03
  5. Step 5: Solve for x
    x = 9,157,691,117.03/110,406
  6. Step 6: Final answer
    x = 82,945.59

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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.