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Finding the Fourth Proportional to 173,258.16, 259,920 and 54,959.28

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Solution

The fourth proportional to 173,258.16, 259,920 and 54,959.28 is: 82,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,258.16 : 259,920 = 54,959.28 : x
  2. Step 2: Convert to fraction form
    173,258.16/259,920 = 54,959.28/x
  3. Step 3: Cross multiply
    173,258.16x = 259,920 × 54,959.28
  4. Step 4: Simplify right side
    173,258.16x = 14,285,016,057.60
  5. Step 5: Solve for x
    x = 14,285,016,057.60/173,258.16
  6. Step 6: Final answer
    x = 82,449.31

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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.