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Finding the Fourth Proportional to 201,672.46, 278,303.61 and 111,024.96

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Solution

The fourth proportional to 201,672.46, 278,303.61 and 111,024.96 is: 153,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,672.46 : 278,303.61 = 111,024.96 : x
  2. Step 2: Convert to fraction form
    201,672.46/278,303.61 = 111,024.96/x
  3. Step 3: Cross multiply
    201,672.46x = 278,303.61 × 111,024.96
  4. Step 4: Simplify right side
    201,672.46x = 30,898,647,168.11
  5. Step 5: Solve for x
    x = 30,898,647,168.11/201,672.46
  6. Step 6: Final answer
    x = 153,212.03

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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.