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Finding the Fourth Proportional to 134,669, 202,003.50 and 51,563

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Solution

The fourth proportional to 134,669, 202,003.50 and 51,563 is: 77,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,669 : 202,003.50 = 51,563 : x
  2. Step 2: Convert to fraction form
    134,669/202,003.50 = 51,563/x
  3. Step 3: Cross multiply
    134,669x = 202,003.50 × 51,563
  4. Step 4: Simplify right side
    134,669x = 10,415,906,470.50
  5. Step 5: Solve for x
    x = 10,415,906,470.50/134,669
  6. Step 6: Final answer
    x = 77,344.50

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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.