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Finding the Fourth Proportional to 350,843.76, 526,141.44 and 114,142.32

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Solution

The fourth proportional to 350,843.76, 526,141.44 and 114,142.32 is: 171,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,843.76 : 526,141.44 = 114,142.32 : x
  2. Step 2: Convert to fraction form
    350,843.76/526,141.44 = 114,142.32/x
  3. Step 3: Cross multiply
    350,843.76x = 526,141.44 × 114,142.32
  4. Step 4: Simplify right side
    350,843.76x = 60,055,004,609.74
  5. Step 5: Solve for x
    x = 60,055,004,609.74/350,843.76
  6. Step 6: Final answer
    x = 171,173.07

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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.