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Finding the Fourth Proportional to 227,904.70, 341,857.05 and 109,806.70

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Solution

The fourth proportional to 227,904.70, 341,857.05 and 109,806.70 is: 164,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,904.70 : 341,857.05 = 109,806.70 : x
  2. Step 2: Convert to fraction form
    227,904.70/341,857.05 = 109,806.70/x
  3. Step 3: Cross multiply
    227,904.70x = 341,857.05 × 109,806.70
  4. Step 4: Simplify right side
    227,904.70x = 37,538,194,532.24
  5. Step 5: Solve for x
    x = 37,538,194,532.24/227,904.70
  6. Step 6: Final answer
    x = 164,710.05

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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.