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Finding the Fourth Proportional to 211,461.84, 317,161.64 and 61,661.84

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Solution

The fourth proportional to 211,461.84, 317,161.64 and 61,661.84 is: 92,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,461.84 : 317,161.64 = 61,661.84 : x
  2. Step 2: Convert to fraction form
    211,461.84/317,161.64 = 61,661.84/x
  3. Step 3: Cross multiply
    211,461.84x = 317,161.64 × 61,661.84
  4. Step 4: Simplify right side
    211,461.84x = 19,556,770,299.82
  5. Step 5: Solve for x
    x = 19,556,770,299.82/211,461.84
  6. Step 6: Final answer
    x = 92,483.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.