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Finding the Fourth Proportional to 114,442.40, 171,663.60 and 52,234.40

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Solution

The fourth proportional to 114,442.40, 171,663.60 and 52,234.40 is: 78,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,442.40 : 171,663.60 = 52,234.40 : x
  2. Step 2: Convert to fraction form
    114,442.40/171,663.60 = 52,234.40/x
  3. Step 3: Cross multiply
    114,442.40x = 171,663.60 × 52,234.40
  4. Step 4: Simplify right side
    114,442.40x = 8,966,745,147.84
  5. Step 5: Solve for x
    x = 8,966,745,147.84/114,442.40
  6. Step 6: Final answer
    x = 78,351.60

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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.