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Finding the Fourth Proportional to 171,077, 256,616.40 and 46,418

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Solution

The fourth proportional to 171,077, 256,616.40 and 46,418 is: 69,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,077 : 256,616.40 = 46,418 : x
  2. Step 2: Convert to fraction form
    171,077/256,616.40 = 46,418/x
  3. Step 3: Cross multiply
    171,077x = 256,616.40 × 46,418
  4. Step 4: Simplify right side
    171,077x = 11,911,620,055.20
  5. Step 5: Solve for x
    x = 11,911,620,055.20/171,077
  6. Step 6: Final answer
    x = 69,627.24

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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.