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Finding the Fourth Proportional to 170,197.97, 255,334.88 and 51,878.51

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Solution

The fourth proportional to 170,197.97, 255,334.88 and 51,878.51 is: 77,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,197.97 : 255,334.88 = 51,878.51 : x
  2. Step 2: Convert to fraction form
    170,197.97/255,334.88 = 51,878.51/x
  3. Step 3: Cross multiply
    170,197.97x = 255,334.88 × 51,878.51
  4. Step 4: Simplify right side
    170,197.97x = 13,246,392,866.04
  5. Step 5: Solve for x
    x = 13,246,392,866.04/170,197.97
  6. Step 6: Final answer
    x = 77,829.32

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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.