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Finding the Fourth Proportional to 164,660.76, 227,137.10 and 99,204.12

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Solution

The fourth proportional to 164,660.76, 227,137.10 and 99,204.12 is: 136,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,660.76 : 227,137.10 = 99,204.12 : x
  2. Step 2: Convert to fraction form
    164,660.76/227,137.10 = 99,204.12/x
  3. Step 3: Cross multiply
    164,660.76x = 227,137.10 × 99,204.12
  4. Step 4: Simplify right side
    164,660.76x = 22,532,935,628.83
  5. Step 5: Solve for x
    x = 22,532,935,628.83/164,660.76
  6. Step 6: Final answer
    x = 136,844.60

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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.