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Finding the Fourth Proportional to 228,296.92, 315,176.44 and 137,675.84

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Solution

The fourth proportional to 228,296.92, 315,176.44 and 137,675.84 is: 190,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,296.92 : 315,176.44 = 137,675.84 : x
  2. Step 2: Convert to fraction form
    228,296.92/315,176.44 = 137,675.84/x
  3. Step 3: Cross multiply
    228,296.92x = 315,176.44 × 137,675.84
  4. Step 4: Simplify right side
    228,296.92x = 43,392,181,125.21
  5. Step 5: Solve for x
    x = 43,392,181,125.21/228,296.92
  6. Step 6: Final answer
    x = 190,069.06

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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.