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Finding the Fourth Proportional to 114,503.49, 171,607.41 and 51,277.32

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Solution

The fourth proportional to 114,503.49, 171,607.41 and 51,277.32 is: 76,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,503.49 : 171,607.41 = 51,277.32 : x
  2. Step 2: Convert to fraction form
    114,503.49/171,607.41 = 51,277.32/x
  3. Step 3: Cross multiply
    114,503.49x = 171,607.41 × 51,277.32
  4. Step 4: Simplify right side
    114,503.49x = 8,799,568,076.94
  5. Step 5: Solve for x
    x = 8,799,568,076.94/114,503.49
  6. Step 6: Final answer
    x = 76,849.78

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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.