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Finding the Fourth Proportional to 206,859.86, 310,307.59 and 57,100.17

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Solution

The fourth proportional to 206,859.86, 310,307.59 and 57,100.17 is: 85,655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,859.86 : 310,307.59 = 57,100.17 : x
  2. Step 2: Convert to fraction form
    206,859.86/310,307.59 = 57,100.17/x
  3. Step 3: Cross multiply
    206,859.86x = 310,307.59 × 57,100.17
  4. Step 4: Simplify right side
    206,859.86x = 17,718,616,141.29
  5. Step 5: Solve for x
    x = 17,718,616,141.29/206,859.86
  6. Step 6: Final answer
    x = 85,655.17

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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.