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Finding the Fourth Proportional to 252,099.64, 347,896.80 and 138,922.36

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Solution

The fourth proportional to 252,099.64, 347,896.80 and 138,922.36 is: 191,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,099.64 : 347,896.80 = 138,922.36 : x
  2. Step 2: Convert to fraction form
    252,099.64/347,896.80 = 138,922.36/x
  3. Step 3: Cross multiply
    252,099.64x = 347,896.80 × 138,922.36
  4. Step 4: Simplify right side
    252,099.64x = 48,330,644,492.45
  5. Step 5: Solve for x
    x = 48,330,644,492.45/252,099.64
  6. Step 6: Final answer
    x = 191,712.47

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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.