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Finding the Fourth Proportional to 150,266.50, 207,374.25 and 83,198.50

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Solution

The fourth proportional to 150,266.50, 207,374.25 and 83,198.50 is: 114,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,266.50 : 207,374.25 = 83,198.50 : x
  2. Step 2: Convert to fraction form
    150,266.50/207,374.25 = 83,198.50/x
  3. Step 3: Cross multiply
    150,266.50x = 207,374.25 × 83,198.50
  4. Step 4: Simplify right side
    150,266.50x = 17,253,226,538.63
  5. Step 5: Solve for x
    x = 17,253,226,538.63/150,266.50
  6. Step 6: Final answer
    x = 114,817.52

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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.