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Finding the Fourth Proportional to 189,713.48, 284,619.42 and 100,893.94

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Solution

The fourth proportional to 189,713.48, 284,619.42 and 100,893.94 is: 151,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,713.48 : 284,619.42 = 100,893.94 : x
  2. Step 2: Convert to fraction form
    189,713.48/284,619.42 = 100,893.94/x
  3. Step 3: Cross multiply
    189,713.48x = 284,619.42 × 100,893.94
  4. Step 4: Simplify right side
    189,713.48x = 28,716,373,972.77
  5. Step 5: Solve for x
    x = 28,716,373,972.77/189,713.48
  6. Step 6: Final answer
    x = 151,367.08

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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.