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Finding the Fourth Proportional to 150,748.08, 208,033.28 and 82,768.02

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Solution

The fourth proportional to 150,748.08, 208,033.28 and 82,768.02 is: 114,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,748.08 : 208,033.28 = 82,768.02 : x
  2. Step 2: Convert to fraction form
    150,748.08/208,033.28 = 82,768.02/x
  3. Step 3: Cross multiply
    150,748.08x = 208,033.28 × 82,768.02
  4. Step 4: Simplify right side
    150,748.08x = 17,218,502,679.71
  5. Step 5: Solve for x
    x = 17,218,502,679.71/150,748.08
  6. Step 6: Final answer
    x = 114,220.38

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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.