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Finding the Fourth Proportional to 265,308.78, 397,712.94 and 132,063.06

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Solution

The fourth proportional to 265,308.78, 397,712.94 and 132,063.06 is: 197,970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,308.78 : 397,712.94 = 132,063.06 : x
  2. Step 2: Convert to fraction form
    265,308.78/397,712.94 = 132,063.06/x
  3. Step 3: Cross multiply
    265,308.78x = 397,712.94 × 132,063.06
  4. Step 4: Simplify right side
    265,308.78x = 52,523,187,858.00
  5. Step 5: Solve for x
    x = 52,523,187,858.00/265,308.78
  6. Step 6: Final answer
    x = 197,970.03

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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.