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Finding the Fourth Proportional to 192,683.88, 289,024.94 and 52,442.12

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Solution

The fourth proportional to 192,683.88, 289,024.94 and 52,442.12 is: 78,662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,683.88 : 289,024.94 = 52,442.12 : x
  2. Step 2: Convert to fraction form
    192,683.88/289,024.94 = 52,442.12/x
  3. Step 3: Cross multiply
    192,683.88x = 289,024.94 × 52,442.12
  4. Step 4: Simplify right side
    192,683.88x = 15,157,080,586.47
  5. Step 5: Solve for x
    x = 15,157,080,586.47/192,683.88
  6. Step 6: Final answer
    x = 78,662.94

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1.5x scale

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.