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Finding the Fourth Proportional to 268,000.38, 369,840.78 and 154,823.13

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Solution

The fourth proportional to 268,000.38, 369,840.78 and 154,823.13 is: 213,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,000.38 : 369,840.78 = 154,823.13 : x
  2. Step 2: Convert to fraction form
    268,000.38/369,840.78 = 154,823.13/x
  3. Step 3: Cross multiply
    268,000.38x = 369,840.78 × 154,823.13
  4. Step 4: Simplify right side
    268,000.38x = 57,259,907,161.24
  5. Step 5: Solve for x
    x = 57,259,907,161.24/268,000.38
  6. Step 6: Final answer
    x = 213,656.07

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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.