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Finding the Fourth Proportional to 180,649.98, 269,876.17 and 116,951.16

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Solution

The fourth proportional to 180,649.98, 269,876.17 and 116,951.16 is: 174,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,649.98 : 269,876.17 = 116,951.16 : x
  2. Step 2: Convert to fraction form
    180,649.98/269,876.17 = 116,951.16/x
  3. Step 3: Cross multiply
    180,649.98x = 269,876.17 × 116,951.16
  4. Step 4: Simplify right side
    180,649.98x = 31,562,330,845.48
  5. Step 5: Solve for x
    x = 31,562,330,845.48/180,649.98
  6. Step 6: Final answer
    x = 174,715.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.