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Finding the Fourth Proportional to 201,567.89, 278,163.74 and 110,923.86

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Solution

The fourth proportional to 201,567.89, 278,163.74 and 110,923.86 is: 153,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,567.89 : 278,163.74 = 110,923.86 : x
  2. Step 2: Convert to fraction form
    201,567.89/278,163.74 = 110,923.86/x
  3. Step 3: Cross multiply
    201,567.89x = 278,163.74 × 110,923.86
  4. Step 4: Simplify right side
    201,567.89x = 30,854,994,884.64
  5. Step 5: Solve for x
    x = 30,854,994,884.64/201,567.89
  6. Step 6: Final answer
    x = 153,074.95

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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.