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Finding the Fourth Proportional to 265,859.31, 398,536.56 and 106,033.35

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Solution

The fourth proportional to 265,859.31, 398,536.56 and 106,033.35 is: 158,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,859.31 : 398,536.56 = 106,033.35 : x
  2. Step 2: Convert to fraction form
    265,859.31/398,536.56 = 106,033.35/x
  3. Step 3: Cross multiply
    265,859.31x = 398,536.56 × 106,033.35
  4. Step 4: Simplify right side
    265,859.31x = 42,258,166,554.28
  5. Step 5: Solve for x
    x = 42,258,166,554.28/265,859.31
  6. Step 6: Final answer
    x = 158,949.36

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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.