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Finding the Fourth Proportional to 141,984.63, 212,978.76 and 47,214.81

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Solution

The fourth proportional to 141,984.63, 212,978.76 and 47,214.81 is: 70,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,984.63 : 212,978.76 = 47,214.81 : x
  2. Step 2: Convert to fraction form
    141,984.63/212,978.76 = 47,214.81/x
  3. Step 3: Cross multiply
    141,984.63x = 212,978.76 × 47,214.81
  4. Step 4: Simplify right side
    141,984.63x = 10,055,751,687.44
  5. Step 5: Solve for x
    x = 10,055,751,687.44/141,984.63
  6. Step 6: Final answer
    x = 70,822.82

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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.