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Finding the Fourth Proportional to 229,912.31, 344,870.41 and 80,152.32

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Solution

The fourth proportional to 229,912.31, 344,870.41 and 80,152.32 is: 120,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,912.31 : 344,870.41 = 80,152.32 : x
  2. Step 2: Convert to fraction form
    229,912.31/344,870.41 = 80,152.32/x
  3. Step 3: Cross multiply
    229,912.31x = 344,870.41 × 80,152.32
  4. Step 4: Simplify right side
    229,912.31x = 27,642,163,460.85
  5. Step 5: Solve for x
    x = 27,642,163,460.85/229,912.31
  6. Step 6: Final answer
    x = 120,229.16

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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.