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Finding the Fourth Proportional to 170,866.72, 256,280.64 and 46,198

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Solution

The fourth proportional to 170,866.72, 256,280.64 and 46,198 is: 69,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,866.72 : 256,280.64 = 46,198 : x
  2. Step 2: Convert to fraction form
    170,866.72/256,280.64 = 46,198/x
  3. Step 3: Cross multiply
    170,866.72x = 256,280.64 × 46,198
  4. Step 4: Simplify right side
    170,866.72x = 11,839,653,006.72
  5. Step 5: Solve for x
    x = 11,839,653,006.72/170,866.72
  6. Step 6: Final answer
    x = 69,291.74

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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.