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Finding the Fourth Proportional to 171,102.07, 256,653.10 and 46,443.07

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Solution

The fourth proportional to 171,102.07, 256,653.10 and 46,443.07 is: 69,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,102.07 : 256,653.10 = 46,443.07 : x
  2. Step 2: Convert to fraction form
    171,102.07/256,653.10 = 46,443.07/x
  3. Step 3: Cross multiply
    171,102.07x = 256,653.10 × 46,443.07
  4. Step 4: Simplify right side
    171,102.07x = 11,919,757,889.02
  5. Step 5: Solve for x
    x = 11,919,757,889.02/171,102.07
  6. Step 6: Final answer
    x = 69,664.60

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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.