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Finding the Fourth Proportional to 182,497.69, 274,232.53 and 98,322.49

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Solution

The fourth proportional to 182,497.69, 274,232.53 and 98,322.49 is: 147,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,497.69 : 274,232.53 = 98,322.49 : x
  2. Step 2: Convert to fraction form
    182,497.69/274,232.53 = 98,322.49/x
  3. Step 3: Cross multiply
    182,497.69x = 274,232.53 × 98,322.49
  4. Step 4: Simplify right side
    182,497.69x = 26,963,223,571.63
  5. Step 5: Solve for x
    x = 26,963,223,571.63/182,497.69
  6. Step 6: Final answer
    x = 147,745.56

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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.