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Finding the Fourth Proportional to 265,196.68, 365,974.41 and 144,338.74

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Solution

The fourth proportional to 265,196.68, 365,974.41 and 144,338.74 is: 199,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,196.68 : 365,974.41 = 144,338.74 : x
  2. Step 2: Convert to fraction form
    265,196.68/365,974.41 = 144,338.74/x
  3. Step 3: Cross multiply
    265,196.68x = 365,974.41 × 144,338.74
  4. Step 4: Simplify right side
    265,196.68x = 52,824,285,211.64
  5. Step 5: Solve for x
    x = 52,824,285,211.64/265,196.68
  6. Step 6: Final answer
    x = 199,189.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.