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Finding the Fourth Proportional to 226,020.22, 311,886.51 and 135,374.62

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Solution

The fourth proportional to 226,020.22, 311,886.51 and 135,374.62 is: 186,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,020.22 : 311,886.51 = 135,374.62 : x
  2. Step 2: Convert to fraction form
    226,020.22/311,886.51 = 135,374.62/x
  3. Step 3: Cross multiply
    226,020.22x = 311,886.51 × 135,374.62
  4. Step 4: Simplify right side
    226,020.22x = 42,221,517,774.38
  5. Step 5: Solve for x
    x = 42,221,517,774.38/226,020.22
  6. Step 6: Final answer
    x = 186,804.16

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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.