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Finding the Fourth Proportional to 206,453, 309,731.50 and 58,709

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Solution

The fourth proportional to 206,453, 309,731.50 and 58,709 is: 88,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,453 : 309,731.50 = 58,709 : x
  2. Step 2: Convert to fraction form
    206,453/309,731.50 = 58,709/x
  3. Step 3: Cross multiply
    206,453x = 309,731.50 × 58,709
  4. Step 4: Simplify right side
    206,453x = 18,184,026,633.50
  5. Step 5: Solve for x
    x = 18,184,026,633.50/206,453
  6. Step 6: Final answer
    x = 88,078.29

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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.