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Finding the Fourth Proportional to 131,216.19, 181,165.50 and 100,948.11

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Solution

The fourth proportional to 131,216.19, 181,165.50 and 100,948.11 is: 139,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,216.19 : 181,165.50 = 100,948.11 : x
  2. Step 2: Convert to fraction form
    131,216.19/181,165.50 = 100,948.11/x
  3. Step 3: Cross multiply
    131,216.19x = 181,165.50 × 100,948.11
  4. Step 4: Simplify right side
    131,216.19x = 18,288,314,822.21
  5. Step 5: Solve for x
    x = 18,288,314,822.21/131,216.19
  6. Step 6: Final answer
    x = 139,375.44

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Why These Related Problems?

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