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Finding the Fourth Proportional to 206,465.72, 309,639.08 and 56,710.89

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Solution

The fourth proportional to 206,465.72, 309,639.08 and 56,710.89 is: 85,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,465.72 : 309,639.08 = 56,710.89 : x
  2. Step 2: Convert to fraction form
    206,465.72/309,639.08 = 56,710.89/x
  3. Step 3: Cross multiply
    206,465.72x = 309,639.08 × 56,710.89
  4. Step 4: Simplify right side
    206,465.72x = 17,559,907,522.03
  5. Step 5: Solve for x
    x = 17,559,907,522.03/206,465.72
  6. Step 6: Final answer
    x = 85,049.99

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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.