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Finding the Fourth Proportional to 164,757.78, 227,385.09 and 101,072.34

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Solution

The fourth proportional to 164,757.78, 227,385.09 and 101,072.34 is: 139,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,757.78 : 227,385.09 = 101,072.34 : x
  2. Step 2: Convert to fraction form
    164,757.78/227,385.09 = 101,072.34/x
  3. Step 3: Cross multiply
    164,757.78x = 227,385.09 × 101,072.34
  4. Step 4: Simplify right side
    164,757.78x = 22,982,343,127.41
  5. Step 5: Solve for x
    x = 22,982,343,127.41/164,757.78
  6. Step 6: Final answer
    x = 139,491.70

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1.5x scale

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.