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Finding the Fourth Proportional to 181,224, 250,089.12 and 101,736

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Solution

The fourth proportional to 181,224, 250,089.12 and 101,736 is: 140,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,224 : 250,089.12 = 101,736 : x
  2. Step 2: Convert to fraction form
    181,224/250,089.12 = 101,736/x
  3. Step 3: Cross multiply
    181,224x = 250,089.12 × 101,736
  4. Step 4: Simplify right side
    181,224x = 25,443,066,712.32
  5. Step 5: Solve for x
    x = 25,443,066,712.32/181,224
  6. Step 6: Final answer
    x = 140,395.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.