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Finding the Fourth Proportional to 181,903.25, 272,994.98 and 146,451.30

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Solution

The fourth proportional to 181,903.25, 272,994.98 and 146,451.30 is: 219,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,903.25 : 272,994.98 = 146,451.30 : x
  2. Step 2: Convert to fraction form
    181,903.25/272,994.98 = 146,451.30/x
  3. Step 3: Cross multiply
    181,903.25x = 272,994.98 × 146,451.30
  4. Step 4: Simplify right side
    181,903.25x = 39,980,468,982.22
  5. Step 5: Solve for x
    x = 39,980,468,982.22/181,903.25
  6. Step 6: Final answer
    x = 219,789.75

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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.