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Finding the Fourth Proportional to 222,064.38, 306,362.79 and 141,477.48

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Solution

The fourth proportional to 222,064.38, 306,362.79 and 141,477.48 is: 195,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,064.38 : 306,362.79 = 141,477.48 : x
  2. Step 2: Convert to fraction form
    222,064.38/306,362.79 = 141,477.48/x
  3. Step 3: Cross multiply
    222,064.38x = 306,362.79 × 141,477.48
  4. Step 4: Simplify right side
    222,064.38x = 43,343,435,494.97
  5. Step 5: Solve for x
    x = 43,343,435,494.97/222,064.38
  6. Step 6: Final answer
    x = 195,184.10

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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.