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Finding the Fourth Proportional to 281,957.90, 422,838.48 and 113,434.52

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Solution

The fourth proportional to 281,957.90, 422,838.48 and 113,434.52 is: 170,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,957.90 : 422,838.48 = 113,434.52 : x
  2. Step 2: Convert to fraction form
    281,957.90/422,838.48 = 113,434.52/x
  3. Step 3: Cross multiply
    281,957.90x = 422,838.48 × 113,434.52
  4. Step 4: Simplify right side
    281,957.90x = 47,964,480,016.33
  5. Step 5: Solve for x
    x = 47,964,480,016.33/281,957.90
  6. Step 6: Final answer
    x = 170,112.20

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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.