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Finding the Fourth Proportional to 206,527.35, 309,755.25 and 56,731.95

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Solution

The fourth proportional to 206,527.35, 309,755.25 and 56,731.95 is: 85,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,527.35 : 309,755.25 = 56,731.95 : x
  2. Step 2: Convert to fraction form
    206,527.35/309,755.25 = 56,731.95/x
  3. Step 3: Cross multiply
    206,527.35x = 309,755.25 × 56,731.95
  4. Step 4: Simplify right side
    206,527.35x = 17,573,019,355.24
  5. Step 5: Solve for x
    x = 17,573,019,355.24/206,527.35
  6. Step 6: Final answer
    x = 85,088.10

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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.