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Finding the Fourth Proportional to 228,098.57, 342,216.70 and 121,464.09

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Solution

The fourth proportional to 228,098.57, 342,216.70 and 121,464.09 is: 182,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,098.57 : 342,216.70 = 121,464.09 : x
  2. Step 2: Convert to fraction form
    228,098.57/342,216.70 = 121,464.09/x
  3. Step 3: Cross multiply
    228,098.57x = 342,216.70 × 121,464.09
  4. Step 4: Simplify right side
    228,098.57x = 41,567,039,744.64
  5. Step 5: Solve for x
    x = 41,567,039,744.64/228,098.57
  6. Step 6: Final answer
    x = 182,232.80

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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.