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Finding the Fourth Proportional to 196,900.88, 295,366.84 and 97,006.57

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Solution

The fourth proportional to 196,900.88, 295,366.84 and 97,006.57 is: 145,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,900.88 : 295,366.84 = 97,006.57 : x
  2. Step 2: Convert to fraction form
    196,900.88/295,366.84 = 97,006.57/x
  3. Step 3: Cross multiply
    196,900.88x = 295,366.84 × 97,006.57
  4. Step 4: Simplify right side
    196,900.88x = 28,652,523,059.21
  5. Step 5: Solve for x
    x = 28,652,523,059.21/196,900.88
  6. Step 6: Final answer
    x = 145,517.50

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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.