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Finding the Fourth Proportional to 227,206.80, 313,538.40 and 142,370.64

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Solution

The fourth proportional to 227,206.80, 313,538.40 and 142,370.64 is: 196,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,206.80 : 313,538.40 = 142,370.64 : x
  2. Step 2: Convert to fraction form
    227,206.80/313,538.40 = 142,370.64/x
  3. Step 3: Cross multiply
    227,206.80x = 313,538.40 × 142,370.64
  4. Step 4: Simplify right side
    227,206.80x = 44,638,662,672.58
  5. Step 5: Solve for x
    x = 44,638,662,672.58/227,206.80
  6. Step 6: Final answer
    x = 196,467.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.