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Finding the Fourth Proportional to 189,674.88, 284,690.88 and 96,247.68

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Solution

The fourth proportional to 189,674.88, 284,690.88 and 96,247.68 is: 144,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,674.88 : 284,690.88 = 96,247.68 : x
  2. Step 2: Convert to fraction form
    189,674.88/284,690.88 = 96,247.68/x
  3. Step 3: Cross multiply
    189,674.88x = 284,690.88 × 96,247.68
  4. Step 4: Simplify right side
    189,674.88x = 27,400,836,717.16
  5. Step 5: Solve for x
    x = 27,400,836,717.16/189,674.88
  6. Step 6: Final answer
    x = 144,462.13

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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.