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Finding the Fourth Proportional to 141,978.22, 212,887.44 and 47,157.64

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Solution

The fourth proportional to 141,978.22, 212,887.44 and 47,157.64 is: 70,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,978.22 : 212,887.44 = 47,157.64 : x
  2. Step 2: Convert to fraction form
    141,978.22/212,887.44 = 47,157.64/x
  3. Step 3: Cross multiply
    141,978.22x = 212,887.44 × 47,157.64
  4. Step 4: Simplify right side
    141,978.22x = 10,039,269,921.31
  5. Step 5: Solve for x
    x = 10,039,269,921.31/141,978.22
  6. Step 6: Final answer
    x = 70,709.93

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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.