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Finding the Fourth Proportional to 181,225.99, 271,783.50 and 86,406.18

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Solution

The fourth proportional to 181,225.99, 271,783.50 and 86,406.18 is: 129,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,225.99 : 271,783.50 = 86,406.18 : x
  2. Step 2: Convert to fraction form
    181,225.99/271,783.50 = 86,406.18/x
  3. Step 3: Cross multiply
    181,225.99x = 271,783.50 × 86,406.18
  4. Step 4: Simplify right side
    181,225.99x = 23,483,774,022.03
  5. Step 5: Solve for x
    x = 23,483,774,022.03/181,225.99
  6. Step 6: Final answer
    x = 129,582.82

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