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Finding the Fourth Proportional to 211,604.83, 317,184.08 and 69,412.97

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Solution

The fourth proportional to 211,604.83, 317,184.08 and 69,412.97 is: 104,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,604.83 : 317,184.08 = 69,412.97 : x
  2. Step 2: Convert to fraction form
    211,604.83/317,184.08 = 69,412.97/x
  3. Step 3: Cross multiply
    211,604.83x = 317,184.08 × 69,412.97
  4. Step 4: Simplify right side
    211,604.83x = 22,016,689,029.52
  5. Step 5: Solve for x
    x = 22,016,689,029.52/211,604.83
  6. Step 6: Final answer
    x = 104,046.25

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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.