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Finding the Fourth Proportional to 260,843.88, 359,978.01 and 146,115.81

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Solution

The fourth proportional to 260,843.88, 359,978.01 and 146,115.81 is: 201,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,843.88 : 359,978.01 = 146,115.81 : x
  2. Step 2: Convert to fraction form
    260,843.88/359,978.01 = 146,115.81/x
  3. Step 3: Cross multiply
    260,843.88x = 359,978.01 × 146,115.81
  4. Step 4: Simplify right side
    260,843.88x = 52,598,478,513.34
  5. Step 5: Solve for x
    x = 52,598,478,513.34/260,843.88
  6. Step 6: Final answer
    x = 201,647.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.