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Finding the Fourth Proportional to 146,177, 201,711.11 and 81,637.26

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Solution

The fourth proportional to 146,177, 201,711.11 and 81,637.26 is: 112,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,177 : 201,711.11 = 81,637.26 : x
  2. Step 2: Convert to fraction form
    146,177/201,711.11 = 81,637.26/x
  3. Step 3: Cross multiply
    146,177x = 201,711.11 × 81,637.26
  4. Step 4: Simplify right side
    146,177x = 16,467,142,331.96
  5. Step 5: Solve for x
    x = 16,467,142,331.96/146,177
  6. Step 6: Final answer
    x = 112,652.07

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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.