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Finding the Fourth Proportional to 197,702.54, 296,492.51 and 71,326.36

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Solution

The fourth proportional to 197,702.54, 296,492.51 and 71,326.36 is: 106,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,702.54 : 296,492.51 = 71,326.36 : x
  2. Step 2: Convert to fraction form
    197,702.54/296,492.51 = 71,326.36/x
  3. Step 3: Cross multiply
    197,702.54x = 296,492.51 × 71,326.36
  4. Step 4: Simplify right side
    197,702.54x = 21,147,730,404.79
  5. Step 5: Solve for x
    x = 21,147,730,404.79/197,702.54
  6. Step 6: Final answer
    x = 106,967.42

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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.