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Finding the Fourth Proportional to 410,112.20, 615,168.30 and 129,715.40

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Solution

The fourth proportional to 410,112.20, 615,168.30 and 129,715.40 is: 194,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,112.20 : 615,168.30 = 129,715.40 : x
  2. Step 2: Convert to fraction form
    410,112.20/615,168.30 = 129,715.40/x
  3. Step 3: Cross multiply
    410,112.20x = 615,168.30 × 129,715.40
  4. Step 4: Simplify right side
    410,112.20x = 79,796,802,101.82
  5. Step 5: Solve for x
    x = 79,796,802,101.82/410,112.20
  6. Step 6: Final answer
    x = 194,573.10

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