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Finding the Fourth Proportional to 206,585.76, 309,827.62 and 56,818.80

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Solution

The fourth proportional to 206,585.76, 309,827.62 and 56,818.80 is: 85,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,585.76 : 309,827.62 = 56,818.80 : x
  2. Step 2: Convert to fraction form
    206,585.76/309,827.62 = 56,818.80/x
  3. Step 3: Cross multiply
    206,585.76x = 309,827.62 × 56,818.80
  4. Step 4: Simplify right side
    206,585.76x = 17,604,033,575.26
  5. Step 5: Solve for x
    x = 17,604,033,575.26/206,585.76
  6. Step 6: Final answer
    x = 85,214.17

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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.