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Finding the Fourth Proportional to 176,127.26, 263,858.72 and 136,490.63

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Solution

The fourth proportional to 176,127.26, 263,858.72 and 136,490.63 is: 204,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,127.26 : 263,858.72 = 136,490.63 : x
  2. Step 2: Convert to fraction form
    176,127.26/263,858.72 = 136,490.63/x
  3. Step 3: Cross multiply
    176,127.26x = 263,858.72 × 136,490.63
  4. Step 4: Simplify right side
    176,127.26x = 36,014,240,922.05
  5. Step 5: Solve for x
    x = 36,014,240,922.05/176,127.26
  6. Step 6: Final answer
    x = 204,478.52

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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.