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Finding the Fourth Proportional to 194,967.80, 292,305.90 and 106,321.40

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Solution

The fourth proportional to 194,967.80, 292,305.90 and 106,321.40 is: 159,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,967.80 : 292,305.90 = 106,321.40 : x
  2. Step 2: Convert to fraction form
    194,967.80/292,305.90 = 106,321.40/x
  3. Step 3: Cross multiply
    194,967.80x = 292,305.90 × 106,321.40
  4. Step 4: Simplify right side
    194,967.80x = 31,078,372,516.26
  5. Step 5: Solve for x
    x = 31,078,372,516.26/194,967.80
  6. Step 6: Final answer
    x = 159,402.59

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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.