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Finding the Fourth Proportional to 312,151.97, 430,770.86 and 168,912.01

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Solution

The fourth proportional to 312,151.97, 430,770.86 and 168,912.01 is: 233,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,151.97 : 430,770.86 = 168,912.01 : x
  2. Step 2: Convert to fraction form
    312,151.97/430,770.86 = 168,912.01/x
  3. Step 3: Cross multiply
    312,151.97x = 430,770.86 × 168,912.01
  4. Step 4: Simplify right side
    312,151.97x = 72,762,368,813.61
  5. Step 5: Solve for x
    x = 72,762,368,813.61/312,151.97
  6. Step 6: Final answer
    x = 233,099.18

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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.