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Finding the Fourth Proportional to 265,973.42, 398,930.54 and 95,188.25

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Solution

The fourth proportional to 265,973.42, 398,930.54 and 95,188.25 is: 142,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,973.42 : 398,930.54 = 95,188.25 : x
  2. Step 2: Convert to fraction form
    265,973.42/398,930.54 = 95,188.25/x
  3. Step 3: Cross multiply
    265,973.42x = 398,930.54 × 95,188.25
  4. Step 4: Simplify right side
    265,973.42x = 37,973,497,503.56
  5. Step 5: Solve for x
    x = 37,973,497,503.56/265,973.42
  6. Step 6: Final answer
    x = 142,771.78

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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.