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Finding the Fourth Proportional to 115,178.22, 158,950.83 and 64,191

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Solution

The fourth proportional to 115,178.22, 158,950.83 and 64,191 is: 88,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,178.22 : 158,950.83 = 64,191 : x
  2. Step 2: Convert to fraction form
    115,178.22/158,950.83 = 64,191/x
  3. Step 3: Cross multiply
    115,178.22x = 158,950.83 × 64,191
  4. Step 4: Simplify right side
    115,178.22x = 10,203,212,728.53
  5. Step 5: Solve for x
    x = 10,203,212,728.53/115,178.22
  6. Step 6: Final answer
    x = 88,586.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.