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Finding the Fourth Proportional to 312,194.89, 430,830.18 and 168,954.90

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Solution

The fourth proportional to 312,194.89, 430,830.18 and 168,954.90 is: 233,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,194.89 : 430,830.18 = 168,954.90 : x
  2. Step 2: Convert to fraction form
    312,194.89/430,830.18 = 168,954.90/x
  3. Step 3: Cross multiply
    312,194.89x = 430,830.18 × 168,954.90
  4. Step 4: Simplify right side
    312,194.89x = 72,790,869,978.88
  5. Step 5: Solve for x
    x = 72,790,869,978.88/312,194.89
  6. Step 6: Final answer
    x = 233,158.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.