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Finding the Fourth Proportional to 265,100.64, 397,712.48 and 87,596.90

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Solution

The fourth proportional to 265,100.64, 397,712.48 and 87,596.90 is: 131,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,100.64 : 397,712.48 = 87,596.90 : x
  2. Step 2: Convert to fraction form
    265,100.64/397,712.48 = 87,596.90/x
  3. Step 3: Cross multiply
    265,100.64x = 397,712.48 × 87,596.90
  4. Step 4: Simplify right side
    265,100.64x = 34,838,380,339.31
  5. Step 5: Solve for x
    x = 34,838,380,339.31/265,100.64
  6. Step 6: Final answer
    x = 131,415.68

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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.