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Finding the Fourth Proportional to 190,047.71, 284,874.74 and 156,414.38

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Solution

The fourth proportional to 190,047.71, 284,874.74 and 156,414.38 is: 234,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,047.71 : 284,874.74 = 156,414.38 : x
  2. Step 2: Convert to fraction form
    190,047.71/284,874.74 = 156,414.38/x
  3. Step 3: Cross multiply
    190,047.71x = 284,874.74 × 156,414.38
  4. Step 4: Simplify right side
    190,047.71x = 44,558,505,764.88
  5. Step 5: Solve for x
    x = 44,558,505,764.88/190,047.71
  6. Step 6: Final answer
    x = 234,459.57

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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.