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Finding the Fourth Proportional to 228,198.08, 314,913.96 and 127,596.08

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Solution

The fourth proportional to 228,198.08, 314,913.96 and 127,596.08 is: 176,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,198.08 : 314,913.96 = 127,596.08 : x
  2. Step 2: Convert to fraction form
    228,198.08/314,913.96 = 127,596.08/x
  3. Step 3: Cross multiply
    228,198.08x = 314,913.96 × 127,596.08
  4. Step 4: Simplify right side
    228,198.08x = 40,181,786,833.28
  5. Step 5: Solve for x
    x = 40,181,786,833.28/228,198.08
  6. Step 6: Final answer
    x = 176,082.93

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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.