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Finding the Fourth Proportional to 276,645.78, 414,303.48 and 157,957.38

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Solution

The fourth proportional to 276,645.78, 414,303.48 and 157,957.38 is: 236,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,645.78 : 414,303.48 = 157,957.38 : x
  2. Step 2: Convert to fraction form
    276,645.78/414,303.48 = 157,957.38/x
  3. Step 3: Cross multiply
    276,645.78x = 414,303.48 × 157,957.38
  4. Step 4: Simplify right side
    276,645.78x = 65,442,292,225.68
  5. Step 5: Solve for x
    x = 65,442,292,225.68/276,645.78
  6. Step 6: Final answer
    x = 236,556.26

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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.