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Finding the Fourth Proportional to 206,563.26, 285,087.15 and 114,703.86

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Solution

The fourth proportional to 206,563.26, 285,087.15 and 114,703.86 is: 158,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,563.26 : 285,087.15 = 114,703.86 : x
  2. Step 2: Convert to fraction form
    206,563.26/285,087.15 = 114,703.86/x
  3. Step 3: Cross multiply
    206,563.26x = 285,087.15 × 114,703.86
  4. Step 4: Simplify right side
    206,563.26x = 32,700,596,541.40
  5. Step 5: Solve for x
    x = 32,700,596,541.40/206,563.26
  6. Step 6: Final answer
    x = 158,307.90

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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.