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Finding the Fourth Proportional to 196,468.33, 294,704.55 and 157,274.59

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Solution

The fourth proportional to 196,468.33, 294,704.55 and 157,274.59 is: 235,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,468.33 : 294,704.55 = 157,274.59 : x
  2. Step 2: Convert to fraction form
    196,468.33/294,704.55 = 157,274.59/x
  3. Step 3: Cross multiply
    196,468.33x = 294,704.55 × 157,274.59
  4. Step 4: Simplify right side
    196,468.33x = 46,349,537,272.38
  5. Step 5: Solve for x
    x = 46,349,537,272.38/196,468.33
  6. Step 6: Final answer
    x = 235,913.53

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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.