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Finding the Fourth Proportional to 164,490.21, 227,011.65 and 99,944.49

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Solution

The fourth proportional to 164,490.21, 227,011.65 and 99,944.49 is: 137,932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,490.21 : 227,011.65 = 99,944.49 : x
  2. Step 2: Convert to fraction form
    164,490.21/227,011.65 = 99,944.49/x
  3. Step 3: Cross multiply
    164,490.21x = 227,011.65 × 99,944.49
  4. Step 4: Simplify right side
    164,490.21x = 22,688,563,583.31
  5. Step 5: Solve for x
    x = 22,688,563,583.31/164,490.21
  6. Step 6: Final answer
    x = 137,932.61

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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.