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Finding the Fourth Proportional to 257,035.08, 354,694.50 and 143,835.96

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Solution

The fourth proportional to 257,035.08, 354,694.50 and 143,835.96 is: 198,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,035.08 : 354,694.50 = 143,835.96 : x
  2. Step 2: Convert to fraction form
    257,035.08/354,694.50 = 143,835.96/x
  3. Step 3: Cross multiply
    257,035.08x = 354,694.50 × 143,835.96
  4. Step 4: Simplify right side
    257,035.08x = 51,017,823,914.22
  5. Step 5: Solve for x
    x = 51,017,823,914.22/257,035.08
  6. Step 6: Final answer
    x = 198,485.84

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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.