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Finding the Fourth Proportional to 205,200.66, 308,116.06 and 182,920.66

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Solution

The fourth proportional to 205,200.66, 308,116.06 and 182,920.66 is: 274,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,200.66 : 308,116.06 = 182,920.66 : x
  2. Step 2: Convert to fraction form
    205,200.66/308,116.06 = 182,920.66/x
  3. Step 3: Cross multiply
    205,200.66x = 308,116.06 × 182,920.66
  4. Step 4: Simplify right side
    205,200.66x = 56,360,793,051.80
  5. Step 5: Solve for x
    x = 56,360,793,051.80/205,200.66
  6. Step 6: Final answer
    x = 274,661.85

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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.