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Finding the Fourth Proportional to 194,476, 268,370.16 and 109,588

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Solution

The fourth proportional to 194,476, 268,370.16 and 109,588 is: 151,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,476 : 268,370.16 = 109,588 : x
  2. Step 2: Convert to fraction form
    194,476/268,370.16 = 109,588/x
  3. Step 3: Cross multiply
    194,476x = 268,370.16 × 109,588
  4. Step 4: Simplify right side
    194,476x = 29,410,149,094.08
  5. Step 5: Solve for x
    x = 29,410,149,094.08/194,476
  6. Step 6: Final answer
    x = 151,227.65

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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.