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Finding the Fourth Proportional to 197,914.19, 296,847.59 and 55,770.12

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Solution

The fourth proportional to 197,914.19, 296,847.59 and 55,770.12 is: 83,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,914.19 : 296,847.59 = 55,770.12 : x
  2. Step 2: Convert to fraction form
    197,914.19/296,847.59 = 55,770.12/x
  3. Step 3: Cross multiply
    197,914.19x = 296,847.59 × 55,770.12
  4. Step 4: Simplify right side
    197,914.19x = 16,555,225,437.16
  5. Step 5: Solve for x
    x = 16,555,225,437.16/197,914.19
  6. Step 6: Final answer
    x = 83,648.50

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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.