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Finding the Fourth Proportional to 196,954.92, 295,432.40 and 157,326.48

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Solution

The fourth proportional to 196,954.92, 295,432.40 and 157,326.48 is: 235,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,954.92 : 295,432.40 = 157,326.48 : x
  2. Step 2: Convert to fraction form
    196,954.92/295,432.40 = 157,326.48/x
  3. Step 3: Cross multiply
    196,954.92x = 295,432.40 × 157,326.48
  4. Step 4: Simplify right side
    196,954.92x = 46,479,339,569.95
  5. Step 5: Solve for x
    x = 46,479,339,569.95/196,954.92
  6. Step 6: Final answer
    x = 235,989.74

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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.