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Finding the Fourth Proportional to 206,332.97, 309,492.17 and 56,570.86

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Solution

The fourth proportional to 206,332.97, 309,492.17 and 56,570.86 is: 84,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,332.97 : 309,492.17 = 56,570.86 : x
  2. Step 2: Convert to fraction form
    206,332.97/309,492.17 = 56,570.86/x
  3. Step 3: Cross multiply
    206,332.97x = 309,492.17 × 56,570.86
  4. Step 4: Simplify right side
    206,332.97x = 17,508,236,636.32
  5. Step 5: Solve for x
    x = 17,508,236,636.32/206,332.97
  6. Step 6: Final answer
    x = 84,854.28

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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.