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Finding the Fourth Proportional to 194,790.60, 292,215.10 and 82,470.60

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Solution

The fourth proportional to 194,790.60, 292,215.10 and 82,470.60 is: 123,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,790.60 : 292,215.10 = 82,470.60 : x
  2. Step 2: Convert to fraction form
    194,790.60/292,215.10 = 82,470.60/x
  3. Step 3: Cross multiply
    194,790.60x = 292,215.10 × 82,470.60
  4. Step 4: Simplify right side
    194,790.60x = 24,099,154,626.06
  5. Step 5: Solve for x
    x = 24,099,154,626.06/194,790.60
  6. Step 6: Final answer
    x = 123,718.26

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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.