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Finding the Fourth Proportional to 150,990.84, 208,367.78 and 83,014.76

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Solution

The fourth proportional to 150,990.84, 208,367.78 and 83,014.76 is: 114,560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,990.84 : 208,367.78 = 83,014.76 : x
  2. Step 2: Convert to fraction form
    150,990.84/208,367.78 = 83,014.76/x
  3. Step 3: Cross multiply
    150,990.84x = 208,367.78 × 83,014.76
  4. Step 4: Simplify right side
    150,990.84x = 17,297,601,354.28
  5. Step 5: Solve for x
    x = 17,297,601,354.28/150,990.84
  6. Step 6: Final answer
    x = 114,560.60

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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.