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Finding the Fourth Proportional to 181,203.81, 271,811.40 and 86,444.34

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Solution

The fourth proportional to 181,203.81, 271,811.40 and 86,444.34 is: 129,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,203.81 : 271,811.40 = 86,444.34 : x
  2. Step 2: Convert to fraction form
    181,203.81/271,811.40 = 86,444.34/x
  3. Step 3: Cross multiply
    181,203.81x = 271,811.40 × 86,444.34
  4. Step 4: Simplify right side
    181,203.81x = 23,496,557,077.48
  5. Step 5: Solve for x
    x = 23,496,557,077.48/181,203.81
  6. Step 6: Final answer
    x = 129,669.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.