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Finding the Fourth Proportional to 411,181.41, 616,701.36 and 111,686.11

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Solution

The fourth proportional to 411,181.41, 616,701.36 and 111,686.11 is: 167,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,181.41 : 616,701.36 = 111,686.11 : x
  2. Step 2: Convert to fraction form
    411,181.41/616,701.36 = 111,686.11/x
  3. Step 3: Cross multiply
    411,181.41x = 616,701.36 × 111,686.11
  4. Step 4: Simplify right side
    411,181.41x = 68,876,975,930.11
  5. Step 5: Solve for x
    x = 68,876,975,930.11/411,181.41
  6. Step 6: Final answer
    x = 167,509.95

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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.