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Finding the Fourth Proportional to 265,199.82, 397,520.73 and 130,077.06

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Solution

The fourth proportional to 265,199.82, 397,520.73 and 130,077.06 is: 194,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,199.82 : 397,520.73 = 130,077.06 : x
  2. Step 2: Convert to fraction form
    265,199.82/397,520.73 = 130,077.06/x
  3. Step 3: Cross multiply
    265,199.82x = 397,520.73 × 130,077.06
  4. Step 4: Simplify right side
    265,199.82x = 51,708,327,847.45
  5. Step 5: Solve for x
    x = 51,708,327,847.45/265,199.82
  6. Step 6: Final answer
    x = 194,978.74

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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.