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Finding the Fourth Proportional to 181,412.72, 272,119.68 and 55,054.02

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Solution

The fourth proportional to 181,412.72, 272,119.68 and 55,054.02 is: 82,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,412.72 : 272,119.68 = 55,054.02 : x
  2. Step 2: Convert to fraction form
    181,412.72/272,119.68 = 55,054.02/x
  3. Step 3: Cross multiply
    181,412.72x = 272,119.68 × 55,054.02
  4. Step 4: Simplify right side
    181,412.72x = 14,981,282,305.11
  5. Step 5: Solve for x
    x = 14,981,282,305.11/181,412.72
  6. Step 6: Final answer
    x = 82,581.21

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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.