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Finding the Fourth Proportional to 194,900.96, 292,351.45 and 47,156.96

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Solution

The fourth proportional to 194,900.96, 292,351.45 and 47,156.96 is: 70,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,900.96 : 292,351.45 = 47,156.96 : x
  2. Step 2: Convert to fraction form
    194,900.96/292,351.45 = 47,156.96/x
  3. Step 3: Cross multiply
    194,900.96x = 292,351.45 × 47,156.96
  4. Step 4: Simplify right side
    194,900.96x = 13,786,406,246.58
  5. Step 5: Solve for x
    x = 13,786,406,246.58/194,900.96
  6. Step 6: Final answer
    x = 70,735.44

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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.