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Finding the Fourth Proportional to 227,202.80, 313,532.88 and 142,366.64

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Solution

The fourth proportional to 227,202.80, 313,532.88 and 142,366.64 is: 196,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,202.80 : 313,532.88 = 142,366.64 : x
  2. Step 2: Convert to fraction form
    227,202.80/313,532.88 = 142,366.64/x
  3. Step 3: Cross multiply
    227,202.80x = 313,532.88 × 142,366.64
  4. Step 4: Simplify right side
    227,202.80x = 44,636,622,655.12
  5. Step 5: Solve for x
    x = 44,636,622,655.12/227,202.80
  6. Step 6: Final answer
    x = 196,461.59

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1.5x scale

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.