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Finding the Fourth Proportional to 181,168, 250,015.68 and 101,680

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Solution

The fourth proportional to 181,168, 250,015.68 and 101,680 is: 140,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,168 : 250,015.68 = 101,680 : x
  2. Step 2: Convert to fraction form
    181,168/250,015.68 = 101,680/x
  3. Step 3: Cross multiply
    181,168x = 250,015.68 × 101,680
  4. Step 4: Simplify right side
    181,168x = 25,421,594,342.40
  5. Step 5: Solve for x
    x = 25,421,594,342.40/181,168
  6. Step 6: Final answer
    x = 140,320.56

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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.