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Finding the Fourth Proportional to 258,367.34, 387,341.90 and 80,782.94

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Solution

The fourth proportional to 258,367.34, 387,341.90 and 80,782.94 is: 121,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,367.34 : 387,341.90 = 80,782.94 : x
  2. Step 2: Convert to fraction form
    258,367.34/387,341.90 = 80,782.94/x
  3. Step 3: Cross multiply
    258,367.34x = 387,341.90 × 80,782.94
  4. Step 4: Simplify right side
    258,367.34x = 31,290,617,467.19
  5. Step 5: Solve for x
    x = 31,290,617,467.19/258,367.34
  6. Step 6: Final answer
    x = 121,109.03

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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.