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Finding the Fourth Proportional to 263,017.71, 362,964.33 and 142,158.98

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Solution

The fourth proportional to 263,017.71, 362,964.33 and 142,158.98 is: 196,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,017.71 : 362,964.33 = 142,158.98 : x
  2. Step 2: Convert to fraction form
    263,017.71/362,964.33 = 142,158.98/x
  3. Step 3: Cross multiply
    263,017.71x = 362,964.33 × 142,158.98
  4. Step 4: Simplify right side
    263,017.71x = 51,598,639,836.59
  5. Step 5: Solve for x
    x = 51,598,639,836.59/263,017.71
  6. Step 6: Final answer
    x = 196,179.34

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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.