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Finding the Fourth Proportional to 227,860.49, 314,474.20 and 137,262.20

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Solution

The fourth proportional to 227,860.49, 314,474.20 and 137,262.20 is: 189,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,860.49 : 314,474.20 = 137,262.20 : x
  2. Step 2: Convert to fraction form
    227,860.49/314,474.20 = 137,262.20/x
  3. Step 3: Cross multiply
    227,860.49x = 314,474.20 × 137,262.20
  4. Step 4: Simplify right side
    227,860.49x = 43,165,418,619.71
  5. Step 5: Solve for x
    x = 43,165,418,619.71/227,860.49
  6. Step 6: Final answer
    x = 189,437.92

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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.