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Finding the Fourth Proportional to 176,509.44, 264,511.44 and 136,881

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Solution

The fourth proportional to 176,509.44, 264,511.44 and 136,881 is: 205,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,509.44 : 264,511.44 = 136,881 : x
  2. Step 2: Convert to fraction form
    176,509.44/264,511.44 = 136,881/x
  3. Step 3: Cross multiply
    176,509.44x = 264,511.44 × 136,881
  4. Step 4: Simplify right side
    176,509.44x = 36,206,590,418.64
  5. Step 5: Solve for x
    x = 36,206,590,418.64/176,509.44
  6. Step 6: Final answer
    x = 205,125.52

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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.