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Finding the Fourth Proportional to 265,227.75, 397,852.56 and 78,239.25

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Solution

The fourth proportional to 265,227.75, 397,852.56 and 78,239.25 is: 117,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,227.75 : 397,852.56 = 78,239.25 : x
  2. Step 2: Convert to fraction form
    265,227.75/397,852.56 = 78,239.25/x
  3. Step 3: Cross multiply
    265,227.75x = 397,852.56 × 78,239.25
  4. Step 4: Simplify right side
    265,227.75x = 31,127,685,904.98
  5. Step 5: Solve for x
    x = 31,127,685,904.98/265,227.75
  6. Step 6: Final answer
    x = 117,362.10

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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.