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Finding the Fourth Proportional to 176,233.82, 264,361.01 and 49,863.49

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Solution

The fourth proportional to 176,233.82, 264,361.01 and 49,863.49 is: 74,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,233.82 : 264,361.01 = 49,863.49 : x
  2. Step 2: Convert to fraction form
    176,233.82/264,361.01 = 49,863.49/x
  3. Step 3: Cross multiply
    176,233.82x = 264,361.01 × 49,863.49
  4. Step 4: Simplify right side
    176,233.82x = 13,181,963,507.55
  5. Step 5: Solve for x
    x = 13,181,963,507.55/176,233.82
  6. Step 6: Final answer
    x = 74,798.15

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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.