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Finding the Fourth Proportional to 141,224.64, 211,867.44 and 47,728.32

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Solution

The fourth proportional to 141,224.64, 211,867.44 and 47,728.32 is: 71,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,224.64 : 211,867.44 = 47,728.32 : x
  2. Step 2: Convert to fraction form
    141,224.64/211,867.44 = 47,728.32/x
  3. Step 3: Cross multiply
    141,224.64x = 211,867.44 × 47,728.32
  4. Step 4: Simplify right side
    141,224.64x = 10,112,076,973.90
  5. Step 5: Solve for x
    x = 10,112,076,973.90/141,224.64
  6. Step 6: Final answer
    x = 71,602.78

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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.