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Finding the Fourth Proportional to 131,014.31, 196,521.50 and 41,064

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Solution

The fourth proportional to 131,014.31, 196,521.50 and 41,064 is: 61,596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,014.31 : 196,521.50 = 41,064 : x
  2. Step 2: Convert to fraction form
    131,014.31/196,521.50 = 41,064/x
  3. Step 3: Cross multiply
    131,014.31x = 196,521.50 × 41,064
  4. Step 4: Simplify right side
    131,014.31x = 8,069,958,670.68
  5. Step 5: Solve for x
    x = 8,069,958,670.68/131,014.31
  6. Step 6: Final answer
    x = 61,596.01

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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.