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Finding the Fourth Proportional to 100,882.94, 151,158.30 and 70,491.14

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Solution

The fourth proportional to 100,882.94, 151,158.30 and 70,491.14 is: 105,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,882.94 : 151,158.30 = 70,491.14 : x
  2. Step 2: Convert to fraction form
    100,882.94/151,158.30 = 70,491.14/x
  3. Step 3: Cross multiply
    100,882.94x = 151,158.30 × 70,491.14
  4. Step 4: Simplify right side
    100,882.94x = 10,655,321,680.95
  5. Step 5: Solve for x
    x = 10,655,321,680.95/100,882.94
  6. Step 6: Final answer
    x = 105,620.66

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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.