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Finding the Fourth Proportional to 189,348.30, 284,131.80 and 71,031.60

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Solution

The fourth proportional to 189,348.30, 284,131.80 and 71,031.60 is: 106,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,348.30 : 284,131.80 = 71,031.60 : x
  2. Step 2: Convert to fraction form
    189,348.30/284,131.80 = 71,031.60/x
  3. Step 3: Cross multiply
    189,348.30x = 284,131.80 × 71,031.60
  4. Step 4: Simplify right side
    189,348.30x = 20,182,336,364.88
  5. Step 5: Solve for x
    x = 20,182,336,364.88/189,348.30
  6. Step 6: Final answer
    x = 106,588.42

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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.