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Finding the Fourth Proportional to 164,498.70, 227,006.10 and 89,047.20

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Solution

The fourth proportional to 164,498.70, 227,006.10 and 89,047.20 is: 122,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,498.70 : 227,006.10 = 89,047.20 : x
  2. Step 2: Convert to fraction form
    164,498.70/227,006.10 = 89,047.20/x
  3. Step 3: Cross multiply
    164,498.70x = 227,006.10 × 89,047.20
  4. Step 4: Simplify right side
    164,498.70x = 20,214,257,587.92
  5. Step 5: Solve for x
    x = 20,214,257,587.92/164,498.70
  6. Step 6: Final answer
    x = 122,884.00

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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.