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Finding the Fourth Proportional to 131,625, 181,642.50 and 72,009

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Solution

The fourth proportional to 131,625, 181,642.50 and 72,009 is: 99,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,625 : 181,642.50 = 72,009 : x
  2. Step 2: Convert to fraction form
    131,625/181,642.50 = 72,009/x
  3. Step 3: Cross multiply
    131,625x = 181,642.50 × 72,009
  4. Step 4: Simplify right side
    131,625x = 13,079,894,782.50
  5. Step 5: Solve for x
    x = 13,079,894,782.50/131,625
  6. Step 6: Final answer
    x = 99,372.42

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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.