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Finding the Fourth Proportional to 194,059.64, 291,072.78 and 118,138.47

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Solution

The fourth proportional to 194,059.64, 291,072.78 and 118,138.47 is: 177,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,059.64 : 291,072.78 = 118,138.47 : x
  2. Step 2: Convert to fraction form
    194,059.64/291,072.78 = 118,138.47/x
  3. Step 3: Cross multiply
    194,059.64x = 291,072.78 × 118,138.47
  4. Step 4: Simplify right side
    194,059.64x = 34,386,893,121.80
  5. Step 5: Solve for x
    x = 34,386,893,121.80/194,059.64
  6. Step 6: Final answer
    x = 177,197.55

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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.