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Finding the Fourth Proportional to 131,015.64, 196,565 and 46,774

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Solution

The fourth proportional to 131,015.64, 196,565 and 46,774 is: 70,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,015.64 : 196,565 = 46,774 : x
  2. Step 2: Convert to fraction form
    131,015.64/196,565 = 46,774/x
  3. Step 3: Cross multiply
    131,015.64x = 196,565 × 46,774
  4. Step 4: Simplify right side
    131,015.64x = 9,194,131,310
  5. Step 5: Solve for x
    x = 9,194,131,310/131,015.64
  6. Step 6: Final answer
    x = 70,175.83

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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.