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Finding the Fourth Proportional to 253,684.56, 350,056.44 and 140,478.96

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Solution

The fourth proportional to 253,684.56, 350,056.44 and 140,478.96 is: 193,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,684.56 : 350,056.44 = 140,478.96 : x
  2. Step 2: Convert to fraction form
    253,684.56/350,056.44 = 140,478.96/x
  3. Step 3: Cross multiply
    253,684.56x = 350,056.44 × 140,478.96
  4. Step 4: Simplify right side
    253,684.56x = 49,175,564,632.50
  5. Step 5: Solve for x
    x = 49,175,564,632.50/253,684.56
  6. Step 6: Final answer
    x = 193,845.32

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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.