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Finding the Fourth Proportional to 194,215.51, 268,042.95 and 109,349.11

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Solution

The fourth proportional to 194,215.51, 268,042.95 and 109,349.11 is: 150,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,215.51 : 268,042.95 = 109,349.11 : x
  2. Step 2: Convert to fraction form
    194,215.51/268,042.95 = 109,349.11/x
  3. Step 3: Cross multiply
    194,215.51x = 268,042.95 × 109,349.11
  4. Step 4: Simplify right side
    194,215.51x = 29,310,256,137.31
  5. Step 5: Solve for x
    x = 29,310,256,137.31/194,215.51
  6. Step 6: Final answer
    x = 150,916.15

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1.5x scale

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.