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Finding the Fourth Proportional to 101,089.48, 151,765.62 and 77,732.32

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Solution

The fourth proportional to 101,089.48, 151,765.62 and 77,732.32 is: 116,699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,089.48 : 151,765.62 = 77,732.32 : x
  2. Step 2: Convert to fraction form
    101,089.48/151,765.62 = 77,732.32/x
  3. Step 3: Cross multiply
    101,089.48x = 151,765.62 × 77,732.32
  4. Step 4: Simplify right side
    101,089.48x = 11,797,093,738.84
  5. Step 5: Solve for x
    x = 11,797,093,738.84/101,089.48
  6. Step 6: Final answer
    x = 116,699.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.