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Finding the Fourth Proportional to 342,148.56, 472,162.17 and 189,193.42

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Solution

The fourth proportional to 342,148.56, 472,162.17 and 189,193.42 is: 261,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,148.56 : 472,162.17 = 189,193.42 : x
  2. Step 2: Convert to fraction form
    342,148.56/472,162.17 = 189,193.42/x
  3. Step 3: Cross multiply
    342,148.56x = 472,162.17 × 189,193.42
  4. Step 4: Simplify right side
    342,148.56x = 89,329,975,736.92
  5. Step 5: Solve for x
    x = 89,329,975,736.92/342,148.56
  6. Step 6: Final answer
    x = 261,085.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.