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Finding the Fourth Proportional to 194,950.60, 292,224.30 and 106,016.20

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Solution

The fourth proportional to 194,950.60, 292,224.30 and 106,016.20 is: 158,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,950.60 : 292,224.30 = 106,016.20 : x
  2. Step 2: Convert to fraction form
    194,950.60/292,224.30 = 106,016.20/x
  3. Step 3: Cross multiply
    194,950.60x = 292,224.30 × 106,016.20
  4. Step 4: Simplify right side
    194,950.60x = 30,980,509,833.66
  5. Step 5: Solve for x
    x = 30,980,509,833.66/194,950.60
  6. Step 6: Final answer
    x = 158,914.67

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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.