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Finding the Fourth Proportional to 241,502.72, 361,782.84 and 158,144

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Solution

The fourth proportional to 241,502.72, 361,782.84 and 158,144 is: 236,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,502.72 : 361,782.84 = 158,144 : x
  2. Step 2: Convert to fraction form
    241,502.72/361,782.84 = 158,144/x
  3. Step 3: Cross multiply
    241,502.72x = 361,782.84 × 158,144
  4. Step 4: Simplify right side
    241,502.72x = 57,213,785,448.96
  5. Step 5: Solve for x
    x = 57,213,785,448.96/241,502.72
  6. Step 6: Final answer
    x = 236,907.42

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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.