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Finding the Fourth Proportional to 143,142.76, 214,759.50 and 111,660.76

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Solution

The fourth proportional to 143,142.76, 214,759.50 and 111,660.76 is: 167,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,142.76 : 214,759.50 = 111,660.76 : x
  2. Step 2: Convert to fraction form
    143,142.76/214,759.50 = 111,660.76/x
  3. Step 3: Cross multiply
    143,142.76x = 214,759.50 × 111,660.76
  4. Step 4: Simplify right side
    143,142.76x = 23,980,208,987.22
  5. Step 5: Solve for x
    x = 23,980,208,987.22/143,142.76
  6. Step 6: Final answer
    x = 167,526.52

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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.