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Finding the Fourth Proportional to 109,898.88, 164,861.54 and 38,806.89

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Solution

The fourth proportional to 109,898.88, 164,861.54 and 38,806.89 is: 58,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.88 : 164,861.54 = 38,806.89 : x
  2. Step 2: Convert to fraction form
    109,898.88/164,861.54 = 38,806.89/x
  3. Step 3: Cross multiply
    109,898.88x = 164,861.54 × 38,806.89
  4. Step 4: Simplify right side
    109,898.88x = 6,397,763,648.01
  5. Step 5: Solve for x
    x = 6,397,763,648.01/109,898.88
  6. Step 6: Final answer
    x = 58,215.00

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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.