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Finding the Fourth Proportional to 150,980.38, 208,355.49 and 83,000.18

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Solution

The fourth proportional to 150,980.38, 208,355.49 and 83,000.18 is: 114,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,980.38 : 208,355.49 = 83,000.18 : x
  2. Step 2: Convert to fraction form
    150,980.38/208,355.49 = 83,000.18/x
  3. Step 3: Cross multiply
    150,980.38x = 208,355.49 × 83,000.18
  4. Step 4: Simplify right side
    150,980.38x = 17,293,543,694.88
  5. Step 5: Solve for x
    x = 17,293,543,694.88/150,980.38
  6. Step 6: Final answer
    x = 114,541.66

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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.