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Finding the Fourth Proportional to 252,838.32, 348,927.48 and 145,408.44

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Solution

The fourth proportional to 252,838.32, 348,927.48 and 145,408.44 is: 200,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,838.32 : 348,927.48 = 145,408.44 : x
  2. Step 2: Convert to fraction form
    252,838.32/348,927.48 = 145,408.44/x
  3. Step 3: Cross multiply
    252,838.32x = 348,927.48 × 145,408.44
  4. Step 4: Simplify right side
    252,838.32x = 50,736,999,776.73
  5. Step 5: Solve for x
    x = 50,736,999,776.73/252,838.32
  6. Step 6: Final answer
    x = 200,669.74

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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.