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Finding the Fourth Proportional to 194,719.20, 292,078.80 and 110,446.80

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Solution

The fourth proportional to 194,719.20, 292,078.80 and 110,446.80 is: 165,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,719.20 : 292,078.80 = 110,446.80 : x
  2. Step 2: Convert to fraction form
    194,719.20/292,078.80 = 110,446.80/x
  3. Step 3: Cross multiply
    194,719.20x = 292,078.80 × 110,446.80
  4. Step 4: Simplify right side
    194,719.20x = 32,259,168,807.84
  5. Step 5: Solve for x
    x = 32,259,168,807.84/194,719.20
  6. Step 6: Final answer
    x = 165,670.20

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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.