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Finding the Fourth Proportional to 164,508.20, 227,021.40 and 89,056.70

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Solution

The fourth proportional to 164,508.20, 227,021.40 and 89,056.70 is: 122,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,508.20 : 227,021.40 = 89,056.70 : x
  2. Step 2: Convert to fraction form
    164,508.20/227,021.40 = 89,056.70/x
  3. Step 3: Cross multiply
    164,508.20x = 227,021.40 × 89,056.70
  4. Step 4: Simplify right side
    164,508.20x = 20,217,776,713.38
  5. Step 5: Solve for x
    x = 20,217,776,713.38/164,508.20
  6. Step 6: Final answer
    x = 122,898.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.