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Finding the Fourth Proportional to 196,469.58, 294,706.44 and 157,275.84

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Solution

The fourth proportional to 196,469.58, 294,706.44 and 157,275.84 is: 235,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,469.58 : 294,706.44 = 157,275.84 : x
  2. Step 2: Convert to fraction form
    196,469.58/294,706.44 = 157,275.84/x
  3. Step 3: Cross multiply
    196,469.58x = 294,706.44 × 157,275.84
  4. Step 4: Simplify right side
    196,469.58x = 46,350,202,904.41
  5. Step 5: Solve for x
    x = 46,350,202,904.41/196,469.58
  6. Step 6: Final answer
    x = 235,915.42

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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.