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Finding the Fourth Proportional to 194,890.70, 292,117.35 and 110,691.20

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Solution

The fourth proportional to 194,890.70, 292,117.35 and 110,691.20 is: 165,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,890.70 : 292,117.35 = 110,691.20 : x
  2. Step 2: Convert to fraction form
    194,890.70/292,117.35 = 110,691.20/x
  3. Step 3: Cross multiply
    194,890.70x = 292,117.35 × 110,691.20
  4. Step 4: Simplify right side
    194,890.70x = 32,334,820,012.32
  5. Step 5: Solve for x
    x = 32,334,820,012.32/194,890.70
  6. Step 6: Final answer
    x = 165,912.59

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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.