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Finding the Fourth Proportional to 131,393, 181,323.06 and 71,777

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Solution

The fourth proportional to 131,393, 181,323.06 and 71,777 is: 99,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,393 : 181,323.06 = 71,777 : x
  2. Step 2: Convert to fraction form
    131,393/181,323.06 = 71,777/x
  3. Step 3: Cross multiply
    131,393x = 181,323.06 × 71,777
  4. Step 4: Simplify right side
    131,393x = 13,014,825,277.62
  5. Step 5: Solve for x
    x = 13,014,825,277.62/131,393
  6. Step 6: Final answer
    x = 99,052.65

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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.