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Finding the Fourth Proportional to 231,887.40, 347,879.10 and 74,095.40

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Solution

The fourth proportional to 231,887.40, 347,879.10 and 74,095.40 is: 111,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,887.40 : 347,879.10 = 74,095.40 : x
  2. Step 2: Convert to fraction form
    231,887.40/347,879.10 = 74,095.40/x
  3. Step 3: Cross multiply
    231,887.40x = 347,879.10 × 74,095.40
  4. Step 4: Simplify right side
    231,887.40x = 25,776,241,066.14
  5. Step 5: Solve for x
    x = 25,776,241,066.14/231,887.40
  6. Step 6: Final answer
    x = 111,158.44

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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.