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Finding the Fourth Proportional to 201,698.26, 278,350.23 and 111,060.88

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Solution

The fourth proportional to 201,698.26, 278,350.23 and 111,060.88 is: 153,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.26 : 278,350.23 = 111,060.88 : x
  2. Step 2: Convert to fraction form
    201,698.26/278,350.23 = 111,060.88/x
  3. Step 3: Cross multiply
    201,698.26x = 278,350.23 × 111,060.88
  4. Step 4: Simplify right side
    201,698.26x = 30,913,821,492.00
  5. Step 5: Solve for x
    x = 30,913,821,492.00/201,698.26
  6. Step 6: Final answer
    x = 153,267.67

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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.