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Finding the Fourth Proportional to 183,006, 252,548.22 and 102,433.50

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Solution

The fourth proportional to 183,006, 252,548.22 and 102,433.50 is: 141,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,006 : 252,548.22 = 102,433.50 : x
  2. Step 2: Convert to fraction form
    183,006/252,548.22 = 102,433.50/x
  3. Step 3: Cross multiply
    183,006x = 252,548.22 × 102,433.50
  4. Step 4: Simplify right side
    183,006x = 25,869,398,093.37
  5. Step 5: Solve for x
    x = 25,869,398,093.37/183,006
  6. Step 6: Final answer
    x = 141,358.20

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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.