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Finding the Fourth Proportional to 194,814.30, 292,221.45 and 100,335.90

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Solution

The fourth proportional to 194,814.30, 292,221.45 and 100,335.90 is: 150,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,814.30 : 292,221.45 = 100,335.90 : x
  2. Step 2: Convert to fraction form
    194,814.30/292,221.45 = 100,335.90/x
  3. Step 3: Cross multiply
    194,814.30x = 292,221.45 × 100,335.90
  4. Step 4: Simplify right side
    194,814.30x = 29,320,302,185.06
  5. Step 5: Solve for x
    x = 29,320,302,185.06/194,814.30
  6. Step 6: Final answer
    x = 150,503.85

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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.