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Finding the Fourth Proportional to 194,592.56, 268,537.62 and 105,168.56

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Solution

The fourth proportional to 194,592.56, 268,537.62 and 105,168.56 is: 145,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,592.56 : 268,537.62 = 105,168.56 : x
  2. Step 2: Convert to fraction form
    194,592.56/268,537.62 = 105,168.56/x
  3. Step 3: Cross multiply
    194,592.56x = 268,537.62 × 105,168.56
  4. Step 4: Simplify right side
    194,592.56x = 28,241,714,801.23
  5. Step 5: Solve for x
    x = 28,241,714,801.23/194,592.56
  6. Step 6: Final answer
    x = 145,132.55

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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.