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Finding the Fourth Proportional to 512,912.10, 769,368.15 and 138,935.10

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Solution

The fourth proportional to 512,912.10, 769,368.15 and 138,935.10 is: 208,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,912.10 : 769,368.15 = 138,935.10 : x
  2. Step 2: Convert to fraction form
    512,912.10/769,368.15 = 138,935.10/x
  3. Step 3: Cross multiply
    512,912.10x = 769,368.15 × 138,935.10
  4. Step 4: Simplify right side
    512,912.10x = 106,892,240,857.07
  5. Step 5: Solve for x
    x = 106,892,240,857.07/512,912.10
  6. Step 6: Final answer
    x = 208,402.65

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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.