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Finding the Fourth Proportional to 180,441.46, 270,689.52 and 130,895.43

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Solution

The fourth proportional to 180,441.46, 270,689.52 and 130,895.43 is: 196,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,441.46 : 270,689.52 = 130,895.43 : x
  2. Step 2: Convert to fraction form
    180,441.46/270,689.52 = 130,895.43/x
  3. Step 3: Cross multiply
    180,441.46x = 270,689.52 × 130,895.43
  4. Step 4: Simplify right side
    180,441.46x = 35,432,021,116.89
  5. Step 5: Solve for x
    x = 35,432,021,116.89/180,441.46
  6. Step 6: Final answer
    x = 196,362.97

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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.