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Finding the Fourth Proportional to 270,961.41, 406,499.18 and 102,477.97

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Solution

The fourth proportional to 270,961.41, 406,499.18 and 102,477.97 is: 153,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,961.41 : 406,499.18 = 102,477.97 : x
  2. Step 2: Convert to fraction form
    270,961.41/406,499.18 = 102,477.97/x
  3. Step 3: Cross multiply
    270,961.41x = 406,499.18 × 102,477.97
  4. Step 4: Simplify right side
    270,961.41x = 41,657,210,768.80
  5. Step 5: Solve for x
    x = 41,657,210,768.80/270,961.41
  6. Step 6: Final answer
    x = 153,738.53

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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.