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Finding the Fourth Proportional to 273,856.64, 410,743.38 and 96,322.14

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Solution

The fourth proportional to 273,856.64, 410,743.38 and 96,322.14 is: 144,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,856.64 : 410,743.38 = 96,322.14 : x
  2. Step 2: Convert to fraction form
    273,856.64/410,743.38 = 96,322.14/x
  3. Step 3: Cross multiply
    273,856.64x = 410,743.38 × 96,322.14
  4. Step 4: Simplify right side
    273,856.64x = 39,563,681,352.43
  5. Step 5: Solve for x
    x = 39,563,681,352.43/273,856.64
  6. Step 6: Final answer
    x = 144,468.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.