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Finding the Fourth Proportional to 211,867.72, 317,848.46 and 69,756.80

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Solution

The fourth proportional to 211,867.72, 317,848.46 and 69,756.80 is: 104,650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,867.72 : 317,848.46 = 69,756.80 : x
  2. Step 2: Convert to fraction form
    211,867.72/317,848.46 = 69,756.80/x
  3. Step 3: Cross multiply
    211,867.72x = 317,848.46 × 69,756.80
  4. Step 4: Simplify right side
    211,867.72x = 22,172,089,516.50
  5. Step 5: Solve for x
    x = 22,172,089,516.50/211,867.72
  6. Step 6: Final answer
    x = 104,650.63

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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.