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Finding the Fourth Proportional to 164,508.64, 227,021.88 and 89,057.08

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Solution

The fourth proportional to 164,508.64, 227,021.88 and 89,057.08 is: 122,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,508.64 : 227,021.88 = 89,057.08 : x
  2. Step 2: Convert to fraction form
    164,508.64/227,021.88 = 89,057.08/x
  3. Step 3: Cross multiply
    164,508.64x = 227,021.88 × 89,057.08
  4. Step 4: Simplify right side
    164,508.64x = 20,217,905,728.91
  5. Step 5: Solve for x
    x = 20,217,905,728.91/164,508.64
  6. Step 6: Final answer
    x = 122,898.75

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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.