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Finding the Fourth Proportional to 193,374.72, 289,785.60 and 110,096.64

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Solution

The fourth proportional to 193,374.72, 289,785.60 and 110,096.64 is: 164,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,374.72 : 289,785.60 = 110,096.64 : x
  2. Step 2: Convert to fraction form
    193,374.72/289,785.60 = 110,096.64/x
  3. Step 3: Cross multiply
    193,374.72x = 289,785.60 × 110,096.64
  4. Step 4: Simplify right side
    193,374.72x = 31,904,420,880.38
  5. Step 5: Solve for x
    x = 31,904,420,880.38/193,374.72
  6. Step 6: Final answer
    x = 164,987.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.