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Finding the Fourth Proportional to 200,031, 300,194.19 and 94,850.34

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Solution

The fourth proportional to 200,031, 300,194.19 and 94,850.34 is: 142,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,031 : 300,194.19 = 94,850.34 : x
  2. Step 2: Convert to fraction form
    200,031/300,194.19 = 94,850.34/x
  3. Step 3: Cross multiply
    200,031x = 300,194.19 × 94,850.34
  4. Step 4: Simplify right side
    200,031x = 28,473,520,987.52
  5. Step 5: Solve for x
    x = 28,473,520,987.52/200,031
  6. Step 6: Final answer
    x = 142,345.54

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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.