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Finding the Fourth Proportional to 211,894.52, 317,806.84 and 69,741.64

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Solution

The fourth proportional to 211,894.52, 317,806.84 and 69,741.64 is: 104,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,894.52 : 317,806.84 = 69,741.64 : x
  2. Step 2: Convert to fraction form
    211,894.52/317,806.84 = 69,741.64/x
  3. Step 3: Cross multiply
    211,894.52x = 317,806.84 × 69,741.64
  4. Step 4: Simplify right side
    211,894.52x = 22,164,370,709.25
  5. Step 5: Solve for x
    x = 22,164,370,709.25/211,894.52
  6. Step 6: Final answer
    x = 104,600.96

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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.