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Finding the Fourth Proportional to 130,465.37, 195,636.37 and 50,540.77

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Solution

The fourth proportional to 130,465.37, 195,636.37 and 50,540.77 is: 75,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,465.37 : 195,636.37 = 50,540.77 : x
  2. Step 2: Convert to fraction form
    130,465.37/195,636.37 = 50,540.77/x
  3. Step 3: Cross multiply
    130,465.37x = 195,636.37 × 50,540.77
  4. Step 4: Simplify right side
    130,465.37x = 9,887,611,548.92
  5. Step 5: Solve for x
    x = 9,887,611,548.92/130,465.37
  6. Step 6: Final answer
    x = 75,787.25

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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.