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Finding the Fourth Proportional to 311,428.32, 429,771.10 and 168,188.38

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Solution

The fourth proportional to 311,428.32, 429,771.10 and 168,188.38 is: 232,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,428.32 : 429,771.10 = 168,188.38 : x
  2. Step 2: Convert to fraction form
    311,428.32/429,771.10 = 168,188.38/x
  3. Step 3: Cross multiply
    311,428.32x = 429,771.10 × 168,188.38
  4. Step 4: Simplify right side
    311,428.32x = 72,282,505,079.82
  5. Step 5: Solve for x
    x = 72,282,505,079.82/311,428.32
  6. Step 6: Final answer
    x = 232,099.97

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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.