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Finding the Fourth Proportional to 191,200.73, 286,828.36 and 71,247.44

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Solution

The fourth proportional to 191,200.73, 286,828.36 and 71,247.44 is: 106,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,200.73 : 286,828.36 = 71,247.44 : x
  2. Step 2: Convert to fraction form
    191,200.73/286,828.36 = 71,247.44/x
  3. Step 3: Cross multiply
    191,200.73x = 286,828.36 × 71,247.44
  4. Step 4: Simplify right side
    191,200.73x = 20,435,786,908.35
  5. Step 5: Solve for x
    x = 20,435,786,908.35/191,200.73
  6. Step 6: Final answer
    x = 106,881.33

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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.