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Finding the Fourth Proportional to 268,193.33, 402,290 and 68,514.16

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Solution

The fourth proportional to 268,193.33, 402,290 and 68,514.16 is: 102,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,193.33 : 402,290 = 68,514.16 : x
  2. Step 2: Convert to fraction form
    268,193.33/402,290 = 68,514.16/x
  3. Step 3: Cross multiply
    268,193.33x = 402,290 × 68,514.16
  4. Step 4: Simplify right side
    268,193.33x = 27,562,561,426.40
  5. Step 5: Solve for x
    x = 27,562,561,426.40/268,193.33
  6. Step 6: Final answer
    x = 102,771.24

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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.