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Finding the Fourth Proportional to 141,958.50, 212,973.75 and 53,212.26

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Solution

The fourth proportional to 141,958.50, 212,973.75 and 53,212.26 is: 79,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,958.50 : 212,973.75 = 53,212.26 : x
  2. Step 2: Convert to fraction form
    141,958.50/212,973.75 = 53,212.26/x
  3. Step 3: Cross multiply
    141,958.50x = 212,973.75 × 53,212.26
  4. Step 4: Simplify right side
    141,958.50x = 11,332,814,558.18
  5. Step 5: Solve for x
    x = 11,332,814,558.18/141,958.50
  6. Step 6: Final answer
    x = 79,831.88

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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.