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Finding the Fourth Proportional to 371,102.42, 512,123.10 and 201,336.50

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Solution

The fourth proportional to 371,102.42, 512,123.10 and 201,336.50 is: 277,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,102.42 : 512,123.10 = 201,336.50 : x
  2. Step 2: Convert to fraction form
    371,102.42/512,123.10 = 201,336.50/x
  3. Step 3: Cross multiply
    371,102.42x = 512,123.10 × 201,336.50
  4. Step 4: Simplify right side
    371,102.42x = 103,109,072,523.15
  5. Step 5: Solve for x
    x = 103,109,072,523.15/371,102.42
  6. Step 6: Final answer
    x = 277,845.33

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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.