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Finding the Fourth Proportional to 195,871.80, 293,602.90 and 106,988.60

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Solution

The fourth proportional to 195,871.80, 293,602.90 and 106,988.60 is: 160,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,871.80 : 293,602.90 = 106,988.60 : x
  2. Step 2: Convert to fraction form
    195,871.80/293,602.90 = 106,988.60/x
  3. Step 3: Cross multiply
    195,871.80x = 293,602.90 × 106,988.60
  4. Step 4: Simplify right side
    195,871.80x = 31,412,163,226.94
  5. Step 5: Solve for x
    x = 31,412,163,226.94/195,871.80
  6. Step 6: Final answer
    x = 160,371.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.