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Finding the Fourth Proportional to 194,890.80, 292,190.40 and 106,244.40

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Solution

The fourth proportional to 194,890.80, 292,190.40 and 106,244.40 is: 159,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,890.80 : 292,190.40 = 106,244.40 : x
  2. Step 2: Convert to fraction form
    194,890.80/292,190.40 = 106,244.40/x
  3. Step 3: Cross multiply
    194,890.80x = 292,190.40 × 106,244.40
  4. Step 4: Simplify right side
    194,890.80x = 31,043,593,733.76
  5. Step 5: Solve for x
    x = 31,043,593,733.76/194,890.80
  6. Step 6: Final answer
    x = 159,287.12

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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.