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Finding the Fourth Proportional to 197,381.34, 295,941.78 and 70,958.16

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Solution

The fourth proportional to 197,381.34, 295,941.78 and 70,958.16 is: 106,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,381.34 : 295,941.78 = 70,958.16 : x
  2. Step 2: Convert to fraction form
    197,381.34/295,941.78 = 70,958.16/x
  3. Step 3: Cross multiply
    197,381.34x = 295,941.78 × 70,958.16
  4. Step 4: Simplify right side
    197,381.34x = 20,999,484,175.92
  5. Step 5: Solve for x
    x = 20,999,484,175.92/197,381.34
  6. Step 6: Final answer
    x = 106,390.42

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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.