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Finding the Fourth Proportional to 265,542.54, 397,927.44 and 164,124.06

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Solution

The fourth proportional to 265,542.54, 397,927.44 and 164,124.06 is: 245,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,542.54 : 397,927.44 = 164,124.06 : x
  2. Step 2: Convert to fraction form
    265,542.54/397,927.44 = 164,124.06/x
  3. Step 3: Cross multiply
    265,542.54x = 397,927.44 × 164,124.06
  4. Step 4: Simplify right side
    265,542.54x = 65,309,467,038.21
  5. Step 5: Solve for x
    x = 65,309,467,038.21/265,542.54
  6. Step 6: Final answer
    x = 245,947.29

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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.