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Finding the Fourth Proportional to 227,974.86, 314,598.87 and 127,372.86

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Solution

The fourth proportional to 227,974.86, 314,598.87 and 127,372.86 is: 175,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,974.86 : 314,598.87 = 127,372.86 : x
  2. Step 2: Convert to fraction form
    227,974.86/314,598.87 = 127,372.86/x
  3. Step 3: Cross multiply
    227,974.86x = 314,598.87 × 127,372.86
  4. Step 4: Simplify right side
    227,974.86x = 40,071,357,824.67
  5. Step 5: Solve for x
    x = 40,071,357,824.67/227,974.86
  6. Step 6: Final answer
    x = 175,770.95

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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.