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Finding the Fourth Proportional to 194,638.50, 268,601.16 and 105,214.50

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Solution

The fourth proportional to 194,638.50, 268,601.16 and 105,214.50 is: 145,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,638.50 : 268,601.16 = 105,214.50 : x
  2. Step 2: Convert to fraction form
    194,638.50/268,601.16 = 105,214.50/x
  3. Step 3: Cross multiply
    194,638.50x = 268,601.16 × 105,214.50
  4. Step 4: Simplify right side
    194,638.50x = 28,260,736,748.82
  5. Step 5: Solve for x
    x = 28,260,736,748.82/194,638.50
  6. Step 6: Final answer
    x = 145,196.03

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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.