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Finding the Fourth Proportional to 181,919.20, 272,878.80 and 103,187.20

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Solution

The fourth proportional to 181,919.20, 272,878.80 and 103,187.20 is: 154,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,919.20 : 272,878.80 = 103,187.20 : x
  2. Step 2: Convert to fraction form
    181,919.20/272,878.80 = 103,187.20/x
  3. Step 3: Cross multiply
    181,919.20x = 272,878.80 × 103,187.20
  4. Step 4: Simplify right side
    181,919.20x = 28,157,599,311.36
  5. Step 5: Solve for x
    x = 28,157,599,311.36/181,919.20
  6. Step 6: Final answer
    x = 154,780.80

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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.