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Finding the Fourth Proportional to 189,224.64, 283,754.52 and 54,258.93

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Solution

The fourth proportional to 189,224.64, 283,754.52 and 54,258.93 is: 81,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,224.64 : 283,754.52 = 54,258.93 : x
  2. Step 2: Convert to fraction form
    189,224.64/283,754.52 = 54,258.93/x
  3. Step 3: Cross multiply
    189,224.64x = 283,754.52 × 54,258.93
  4. Step 4: Simplify right side
    189,224.64x = 15,396,216,637.86
  5. Step 5: Solve for x
    x = 15,396,216,637.86/189,224.64
  6. Step 6: Final answer
    x = 81,364.76

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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.