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Finding the Fourth Proportional to 134,726.64, 202,164 and 50,544.96

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Solution

The fourth proportional to 134,726.64, 202,164 and 50,544.96 is: 75,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,726.64 : 202,164 = 50,544.96 : x
  2. Step 2: Convert to fraction form
    134,726.64/202,164 = 50,544.96/x
  3. Step 3: Cross multiply
    134,726.64x = 202,164 × 50,544.96
  4. Step 4: Simplify right side
    134,726.64x = 10,218,371,293.44
  5. Step 5: Solve for x
    x = 10,218,371,293.44/134,726.64
  6. Step 6: Final answer
    x = 75,845.22

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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.