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Finding the Fourth Proportional to 194,718.70, 292,078.05 and 110,446.30

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Solution

The fourth proportional to 194,718.70, 292,078.05 and 110,446.30 is: 165,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,718.70 : 292,078.05 = 110,446.30 : x
  2. Step 2: Convert to fraction form
    194,718.70/292,078.05 = 110,446.30/x
  3. Step 3: Cross multiply
    194,718.70x = 292,078.05 × 110,446.30
  4. Step 4: Simplify right side
    194,718.70x = 32,258,939,933.72
  5. Step 5: Solve for x
    x = 32,258,939,933.72/194,718.70
  6. Step 6: Final answer
    x = 165,669.45

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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.