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Finding the Fourth Proportional to 211,414.87, 317,091.55 and 61,614.94

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Solution

The fourth proportional to 211,414.87, 317,091.55 and 61,614.94 is: 92,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,414.87 : 317,091.55 = 61,614.94 : x
  2. Step 2: Convert to fraction form
    211,414.87/317,091.55 = 61,614.94/x
  3. Step 3: Cross multiply
    211,414.87x = 317,091.55 × 61,614.94
  4. Step 4: Simplify right side
    211,414.87x = 19,537,576,827.76
  5. Step 5: Solve for x
    x = 19,537,576,827.76/211,414.87
  6. Step 6: Final answer
    x = 92,413.45

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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.