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Finding the Fourth Proportional to 194,748.06, 268,750.80 and 105,324.06

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Solution

The fourth proportional to 194,748.06, 268,750.80 and 105,324.06 is: 145,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,748.06 : 268,750.80 = 105,324.06 : x
  2. Step 2: Convert to fraction form
    194,748.06/268,750.80 = 105,324.06/x
  3. Step 3: Cross multiply
    194,748.06x = 268,750.80 × 105,324.06
  4. Step 4: Simplify right side
    194,748.06x = 28,305,925,384.25
  5. Step 5: Solve for x
    x = 28,305,925,384.25/194,748.06
  6. Step 6: Final answer
    x = 145,346.38

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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.