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Finding the Fourth Proportional to 197,294.34, 295,811.50 and 70,871.16

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Solution

The fourth proportional to 197,294.34, 295,811.50 and 70,871.16 is: 106,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,294.34 : 295,811.50 = 70,871.16 : x
  2. Step 2: Convert to fraction form
    197,294.34/295,811.50 = 70,871.16/x
  3. Step 3: Cross multiply
    197,294.34x = 295,811.50 × 70,871.16
  4. Step 4: Simplify right side
    197,294.34x = 20,964,504,146.34
  5. Step 5: Solve for x
    x = 20,964,504,146.34/197,294.34
  6. Step 6: Final answer
    x = 106,260.04

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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.