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Finding the Fourth Proportional to 190,094.38, 262,338.53 and 105,211.42

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Solution

The fourth proportional to 190,094.38, 262,338.53 and 105,211.42 is: 145,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,094.38 : 262,338.53 = 105,211.42 : x
  2. Step 2: Convert to fraction form
    190,094.38/262,338.53 = 105,211.42/x
  3. Step 3: Cross multiply
    190,094.38x = 262,338.53 × 105,211.42
  4. Step 4: Simplify right side
    190,094.38x = 27,601,008,080.11
  5. Step 5: Solve for x
    x = 27,601,008,080.11/190,094.38
  6. Step 6: Final answer
    x = 145,196.34

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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.