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Finding the Fourth Proportional to 110,562.44, 152,597.94 and 77,009

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Solution

The fourth proportional to 110,562.44, 152,597.94 and 77,009 is: 106,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,562.44 : 152,597.94 = 77,009 : x
  2. Step 2: Convert to fraction form
    110,562.44/152,597.94 = 77,009/x
  3. Step 3: Cross multiply
    110,562.44x = 152,597.94 × 77,009
  4. Step 4: Simplify right side
    110,562.44x = 11,751,414,761.46
  5. Step 5: Solve for x
    x = 11,751,414,761.46/110,562.44
  6. Step 6: Final answer
    x = 106,287.59

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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.