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Finding the Fourth Proportional to 230,912.20, 346,368.30 and 106,496.20

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Solution

The fourth proportional to 230,912.20, 346,368.30 and 106,496.20 is: 159,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,912.20 : 346,368.30 = 106,496.20 : x
  2. Step 2: Convert to fraction form
    230,912.20/346,368.30 = 106,496.20/x
  3. Step 3: Cross multiply
    230,912.20x = 346,368.30 × 106,496.20
  4. Step 4: Simplify right side
    230,912.20x = 36,886,907,750.46
  5. Step 5: Solve for x
    x = 36,886,907,750.46/230,912.20
  6. Step 6: Final answer
    x = 159,744.30

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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.