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Finding the Fourth Proportional to 206,992.84, 310,706.40 and 183,451

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Solution

The fourth proportional to 206,992.84, 310,706.40 and 183,451 is: 275,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,992.84 : 310,706.40 = 183,451 : x
  2. Step 2: Convert to fraction form
    206,992.84/310,706.40 = 183,451/x
  3. Step 3: Cross multiply
    206,992.84x = 310,706.40 × 183,451
  4. Step 4: Simplify right side
    206,992.84x = 56,999,399,786.40
  5. Step 5: Solve for x
    x = 56,999,399,786.40/206,992.84
  6. Step 6: Final answer
    x = 275,368.94

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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.