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Finding the Fourth Proportional to 265,146.86, 397,782.57 and 87,653.85

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Solution

The fourth proportional to 265,146.86, 397,782.57 and 87,653.85 is: 131,501.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,146.86 : 397,782.57 = 87,653.85 : x
  2. Step 2: Convert to fraction form
    265,146.86/397,782.57 = 87,653.85/x
  3. Step 3: Cross multiply
    265,146.86x = 397,782.57 × 87,653.85
  4. Step 4: Simplify right side
    265,146.86x = 34,867,173,723.39
  5. Step 5: Solve for x
    x = 34,867,173,723.39/265,146.86
  6. Step 6: Final answer
    x = 131,501.37

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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.