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Finding the Fourth Proportional to 197,096.84, 295,271.43 and 116,965.47

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Solution

The fourth proportional to 197,096.84, 295,271.43 and 116,965.47 is: 175,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,096.84 : 295,271.43 = 116,965.47 : x
  2. Step 2: Convert to fraction form
    197,096.84/295,271.43 = 116,965.47/x
  3. Step 3: Cross multiply
    197,096.84x = 295,271.43 × 116,965.47
  4. Step 4: Simplify right side
    197,096.84x = 34,536,560,595.27
  5. Step 5: Solve for x
    x = 34,536,560,595.27/197,096.84
  6. Step 6: Final answer
    x = 175,226.35

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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.