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Finding the Fourth Proportional to 183,005, 252,546.84 and 102,432.50

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Solution

The fourth proportional to 183,005, 252,546.84 and 102,432.50 is: 141,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,005 : 252,546.84 = 102,432.50 : x
  2. Step 2: Convert to fraction form
    183,005/252,546.84 = 102,432.50/x
  3. Step 3: Cross multiply
    183,005x = 252,546.84 × 102,432.50
  4. Step 4: Simplify right side
    183,005x = 25,869,004,188.30
  5. Step 5: Solve for x
    x = 25,869,004,188.30/183,005
  6. Step 6: Final answer
    x = 141,356.82

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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.