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Finding the Fourth Proportional to 410,200.10, 615,300.15 and 110,680.68

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Solution

The fourth proportional to 410,200.10, 615,300.15 and 110,680.68 is: 166,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,200.10 : 615,300.15 = 110,680.68 : x
  2. Step 2: Convert to fraction form
    410,200.10/615,300.15 = 110,680.68/x
  3. Step 3: Cross multiply
    410,200.10x = 615,300.15 × 110,680.68
  4. Step 4: Simplify right side
    410,200.10x = 68,101,839,006.10
  5. Step 5: Solve for x
    x = 68,101,839,006.10/410,200.10
  6. Step 6: Final answer
    x = 166,021.02

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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.