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Finding the Fourth Proportional to 192,708.02, 289,069.92 and 52,466.64

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Solution

The fourth proportional to 192,708.02, 289,069.92 and 52,466.64 is: 78,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,708.02 : 289,069.92 = 52,466.64 : x
  2. Step 2: Convert to fraction form
    192,708.02/289,069.92 = 52,466.64/x
  3. Step 3: Cross multiply
    192,708.02x = 289,069.92 × 52,466.64
  4. Step 4: Simplify right side
    192,708.02x = 15,166,527,427.47
  5. Step 5: Solve for x
    x = 15,166,527,427.47/192,708.02
  6. Step 6: Final answer
    x = 78,702.11

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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.