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Finding the Fourth Proportional to 208,589.42, 312,698.57 and 75,440.07

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Solution

The fourth proportional to 208,589.42, 312,698.57 and 75,440.07 is: 113,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,589.42 : 312,698.57 = 75,440.07 : x
  2. Step 2: Convert to fraction form
    208,589.42/312,698.57 = 75,440.07/x
  3. Step 3: Cross multiply
    208,589.42x = 312,698.57 × 75,440.07
  4. Step 4: Simplify right side
    208,589.42x = 23,590,001,632.50
  5. Step 5: Solve for x
    x = 23,590,001,632.50/208,589.42
  6. Step 6: Final answer
    x = 113,092.99

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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.