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Finding the Fourth Proportional to 265,978.55, 367,043.27 and 145,119.80

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Solution

The fourth proportional to 265,978.55, 367,043.27 and 145,119.80 is: 200,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,978.55 : 367,043.27 = 145,119.80 : x
  2. Step 2: Convert to fraction form
    265,978.55/367,043.27 = 145,119.80/x
  3. Step 3: Cross multiply
    265,978.55x = 367,043.27 × 145,119.80
  4. Step 4: Simplify right side
    265,978.55x = 53,265,246,125.76
  5. Step 5: Solve for x
    x = 53,265,246,125.76/265,978.55
  6. Step 6: Final answer
    x = 200,261.43

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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.