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Finding the Fourth Proportional to 194,648.66, 268,631.54 and 109,782.12

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Solution

The fourth proportional to 194,648.66, 268,631.54 and 109,782.12 is: 151,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,648.66 : 268,631.54 = 109,782.12 : x
  2. Step 2: Convert to fraction form
    194,648.66/268,631.54 = 109,782.12/x
  3. Step 3: Cross multiply
    194,648.66x = 268,631.54 × 109,782.12
  4. Step 4: Simplify right side
    194,648.66x = 29,490,939,960.06
  5. Step 5: Solve for x
    x = 29,490,939,960.06/194,648.66
  6. Step 6: Final answer
    x = 151,508.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.