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Finding the Fourth Proportional to 150,935.93, 208,290.53 and 82,953.53

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Solution

The fourth proportional to 150,935.93, 208,290.53 and 82,953.53 is: 114,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,935.93 : 208,290.53 = 82,953.53 : x
  2. Step 2: Convert to fraction form
    150,935.93/208,290.53 = 82,953.53/x
  3. Step 3: Cross multiply
    150,935.93x = 208,290.53 × 82,953.53
  4. Step 4: Simplify right side
    150,935.93x = 17,278,434,314.30
  5. Step 5: Solve for x
    x = 17,278,434,314.30/150,935.93
  6. Step 6: Final answer
    x = 114,475.29

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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.