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Finding the Fourth Proportional to 201,697.09, 278,339.69 and 111,051.20

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Solution

The fourth proportional to 201,697.09, 278,339.69 and 111,051.20 is: 153,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,697.09 : 278,339.69 = 111,051.20 : x
  2. Step 2: Convert to fraction form
    201,697.09/278,339.69 = 111,051.20/x
  3. Step 3: Cross multiply
    201,697.09x = 278,339.69 × 111,051.20
  4. Step 4: Simplify right side
    201,697.09x = 30,909,957,555.61
  5. Step 5: Solve for x
    x = 30,909,957,555.61/201,697.09
  6. Step 6: Final answer
    x = 153,249.40

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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.