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Finding the Fourth Proportional to 221,643.17, 305,867.31 and 131,031.81

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Solution

The fourth proportional to 221,643.17, 305,867.31 and 131,031.81 is: 180,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,643.17 : 305,867.31 = 131,031.81 : x
  2. Step 2: Convert to fraction form
    221,643.17/305,867.31 = 131,031.81/x
  3. Step 3: Cross multiply
    221,643.17x = 305,867.31 × 131,031.81
  4. Step 4: Simplify right side
    221,643.17x = 40,078,347,249.13
  5. Step 5: Solve for x
    x = 40,078,347,249.13/221,643.17
  6. Step 6: Final answer
    x = 180,823.75

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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.