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Finding the Fourth Proportional to 228,451.64, 342,991.92 and 116,207.82

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Solution

The fourth proportional to 228,451.64, 342,991.92 and 116,207.82 is: 174,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,451.64 : 342,991.92 = 116,207.82 : x
  2. Step 2: Convert to fraction form
    228,451.64/342,991.92 = 116,207.82/x
  3. Step 3: Cross multiply
    228,451.64x = 342,991.92 × 116,207.82
  4. Step 4: Simplify right side
    228,451.64x = 39,858,343,300.81
  5. Step 5: Solve for x
    x = 39,858,343,300.81/228,451.64
  6. Step 6: Final answer
    x = 174,471.69

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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.