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Finding the Fourth Proportional to 197,221.40, 295,491.90 and 91,824.20

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Solution

The fourth proportional to 197,221.40, 295,491.90 and 91,824.20 is: 137,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,221.40 : 295,491.90 = 91,824.20 : x
  2. Step 2: Convert to fraction form
    197,221.40/295,491.90 = 91,824.20/x
  3. Step 3: Cross multiply
    197,221.40x = 295,491.90 × 91,824.20
  4. Step 4: Simplify right side
    197,221.40x = 27,133,307,323.98
  5. Step 5: Solve for x
    x = 27,133,307,323.98/197,221.40
  6. Step 6: Final answer
    x = 137,577.91

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1.5x scale

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.