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Finding the Fourth Proportional to 181,226.74, 271,784.62 and 86,406.93

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Solution

The fourth proportional to 181,226.74, 271,784.62 and 86,406.93 is: 129,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,226.74 : 271,784.62 = 86,406.93 : x
  2. Step 2: Convert to fraction form
    181,226.74/271,784.62 = 86,406.93/x
  3. Step 3: Cross multiply
    181,226.74x = 271,784.62 × 86,406.93
  4. Step 4: Simplify right side
    181,226.74x = 23,484,074,635.42
  5. Step 5: Solve for x
    x = 23,484,074,635.42/181,226.74
  6. Step 6: Final answer
    x = 129,583.94

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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.