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Finding the Fourth Proportional to 141,904.26, 212,878.26 and 48,388.14

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Solution

The fourth proportional to 141,904.26, 212,878.26 and 48,388.14 is: 72,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,904.26 : 212,878.26 = 48,388.14 : x
  2. Step 2: Convert to fraction form
    141,904.26/212,878.26 = 48,388.14/x
  3. Step 3: Cross multiply
    141,904.26x = 212,878.26 × 48,388.14
  4. Step 4: Simplify right side
    141,904.26x = 10,300,783,047.84
  5. Step 5: Solve for x
    x = 10,300,783,047.84/141,904.26
  6. Step 6: Final answer
    x = 72,589.67

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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.