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Finding the Fourth Proportional to 116,482.78, 174,461.64 and 81,578.26

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Solution

The fourth proportional to 116,482.78, 174,461.64 and 81,578.26 is: 122,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,482.78 : 174,461.64 = 81,578.26 : x
  2. Step 2: Convert to fraction form
    116,482.78/174,461.64 = 81,578.26/x
  3. Step 3: Cross multiply
    116,482.78x = 174,461.64 × 81,578.26
  4. Step 4: Simplify right side
    116,482.78x = 14,232,277,027.95
  5. Step 5: Solve for x
    x = 14,232,277,027.95/116,482.78
  6. Step 6: Final answer
    x = 122,183.53

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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.