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Finding the Fourth Proportional to 194,892.60, 292,112.10 and 89,722.20

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Solution

The fourth proportional to 194,892.60, 292,112.10 and 89,722.20 is: 134,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,892.60 : 292,112.10 = 89,722.20 : x
  2. Step 2: Convert to fraction form
    194,892.60/292,112.10 = 89,722.20/x
  3. Step 3: Cross multiply
    194,892.60x = 292,112.10 × 89,722.20
  4. Step 4: Simplify right side
    194,892.60x = 26,208,940,258.62
  5. Step 5: Solve for x
    x = 26,208,940,258.62/194,892.60
  6. Step 6: Final answer
    x = 134,478.89

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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.