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Finding the Fourth Proportional to 105,780.88, 158,593.56 and 50,415.76

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Solution

The fourth proportional to 105,780.88, 158,593.56 and 50,415.76 is: 75,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,780.88 : 158,593.56 = 50,415.76 : x
  2. Step 2: Convert to fraction form
    105,780.88/158,593.56 = 50,415.76/x
  3. Step 3: Cross multiply
    105,780.88x = 158,593.56 × 50,415.76
  4. Step 4: Simplify right side
    105,780.88x = 7,995,614,858.51
  5. Step 5: Solve for x
    x = 7,995,614,858.51/105,780.88
  6. Step 6: Final answer
    x = 75,586.58

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