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Finding the Fourth Proportional to 192,408.80, 288,613.20 and 157,416.80

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Solution

The fourth proportional to 192,408.80, 288,613.20 and 157,416.80 is: 236,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,408.80 : 288,613.20 = 157,416.80 : x
  2. Step 2: Convert to fraction form
    192,408.80/288,613.20 = 157,416.80/x
  3. Step 3: Cross multiply
    192,408.80x = 288,613.20 × 157,416.80
  4. Step 4: Simplify right side
    192,408.80x = 45,432,566,381.76
  5. Step 5: Solve for x
    x = 45,432,566,381.76/192,408.80
  6. Step 6: Final answer
    x = 236,125.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.