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Finding the Fourth Proportional to 141,967, 212,986.50 and 53,220.76

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Solution

The fourth proportional to 141,967, 212,986.50 and 53,220.76 is: 79,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,967 : 212,986.50 = 53,220.76 : x
  2. Step 2: Convert to fraction form
    141,967/212,986.50 = 53,220.76/x
  3. Step 3: Cross multiply
    141,967x = 212,986.50 × 53,220.76
  4. Step 4: Simplify right side
    141,967x = 11,335,303,399.74
  5. Step 5: Solve for x
    x = 11,335,303,399.74/141,967
  6. Step 6: Final answer
    x = 79,844.64

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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.