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Finding the Fourth Proportional to 181,298.95, 271,871.53 and 86,419.37

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Solution

The fourth proportional to 181,298.95, 271,871.53 and 86,419.37 is: 129,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,298.95 : 271,871.53 = 86,419.37 : x
  2. Step 2: Convert to fraction form
    181,298.95/271,871.53 = 86,419.37/x
  3. Step 3: Cross multiply
    181,298.95x = 271,871.53 × 86,419.37
  4. Step 4: Simplify right side
    181,298.95x = 23,494,965,911.44
  5. Step 5: Solve for x
    x = 23,494,965,911.44/181,298.95
  6. Step 6: Final answer
    x = 129,592.40

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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.