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Finding the Fourth Proportional to 164,819.16, 227,412.63 and 93,183.57

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Solution

The fourth proportional to 164,819.16, 227,412.63 and 93,183.57 is: 128,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,819.16 : 227,412.63 = 93,183.57 : x
  2. Step 2: Convert to fraction form
    164,819.16/227,412.63 = 93,183.57/x
  3. Step 3: Cross multiply
    164,819.16x = 227,412.63 × 93,183.57
  4. Step 4: Simplify right side
    164,819.16x = 21,191,120,726.49
  5. Step 5: Solve for x
    x = 21,191,120,726.49/164,819.16
  6. Step 6: Final answer
    x = 128,571.95

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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.