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Finding the Fourth Proportional to 194,900.91, 292,351.37 and 47,156.91

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Solution

The fourth proportional to 194,900.91, 292,351.37 and 47,156.91 is: 70,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,900.91 : 292,351.37 = 47,156.91 : x
  2. Step 2: Convert to fraction form
    194,900.91/292,351.37 = 47,156.91/x
  3. Step 3: Cross multiply
    194,900.91x = 292,351.37 × 47,156.91
  4. Step 4: Simplify right side
    194,900.91x = 13,786,385,911.36
  5. Step 5: Solve for x
    x = 13,786,385,911.36/194,900.91
  6. Step 6: Final answer
    x = 70,735.36

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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.