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Finding the Fourth Proportional to 164,499.70, 227,007.48 and 89,048.20

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Solution

The fourth proportional to 164,499.70, 227,007.48 and 89,048.20 is: 122,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,499.70 : 227,007.48 = 89,048.20 : x
  2. Step 2: Convert to fraction form
    164,499.70/227,007.48 = 89,048.20/x
  3. Step 3: Cross multiply
    164,499.70x = 227,007.48 × 89,048.20
  4. Step 4: Simplify right side
    164,499.70x = 20,214,607,480.54
  5. Step 5: Solve for x
    x = 20,214,607,480.54/164,499.70
  6. Step 6: Final answer
    x = 122,885.38

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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.