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Finding the Fourth Proportional to 176,383.49, 264,415.32 and 113,221.49

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Solution

The fourth proportional to 176,383.49, 264,415.32 and 113,221.49 is: 169,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,383.49 : 264,415.32 = 113,221.49 : x
  2. Step 2: Convert to fraction form
    176,383.49/264,415.32 = 113,221.49/x
  3. Step 3: Cross multiply
    176,383.49x = 264,415.32 × 113,221.49
  4. Step 4: Simplify right side
    176,383.49x = 29,937,495,187.15
  5. Step 5: Solve for x
    x = 29,937,495,187.15/176,383.49
  6. Step 6: Final answer
    x = 169,729.58

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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.