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Finding the Fourth Proportional to 150,242.42, 207,326.67 and 82,246.38

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Solution

The fourth proportional to 150,242.42, 207,326.67 and 82,246.38 is: 113,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,242.42 : 207,326.67 = 82,246.38 : x
  2. Step 2: Convert to fraction form
    150,242.42/207,326.67 = 82,246.38/x
  3. Step 3: Cross multiply
    150,242.42x = 207,326.67 × 82,246.38
  4. Step 4: Simplify right side
    150,242.42x = 17,051,868,084.95
  5. Step 5: Solve for x
    x = 17,051,868,084.95/150,242.42
  6. Step 6: Final answer
    x = 113,495.70

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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.