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Finding the Fourth Proportional to 194,908, 292,368.90 and 100,112.56

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Solution

The fourth proportional to 194,908, 292,368.90 and 100,112.56 is: 150,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,908 : 292,368.90 = 100,112.56 : x
  2. Step 2: Convert to fraction form
    194,908/292,368.90 = 100,112.56/x
  3. Step 3: Cross multiply
    194,908x = 292,368.90 × 100,112.56
  4. Step 4: Simplify right side
    194,908x = 29,269,799,043.38
  5. Step 5: Solve for x
    x = 29,269,799,043.38/194,908
  6. Step 6: Final answer
    x = 150,172.38

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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.