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Finding the Fourth Proportional to 228,496.02, 315,324.24 and 127,894.02

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Solution

The fourth proportional to 228,496.02, 315,324.24 and 127,894.02 is: 176,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,496.02 : 315,324.24 = 127,894.02 : x
  2. Step 2: Convert to fraction form
    228,496.02/315,324.24 = 127,894.02/x
  3. Step 3: Cross multiply
    228,496.02x = 315,324.24 × 127,894.02
  4. Step 4: Simplify right side
    228,496.02x = 40,328,084,657.04
  5. Step 5: Solve for x
    x = 40,328,084,657.04/228,496.02
  6. Step 6: Final answer
    x = 176,493.60

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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.