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Finding the Fourth Proportional to 205,263.84, 307,660.86 and 92,774.28

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Solution

The fourth proportional to 205,263.84, 307,660.86 and 92,774.28 is: 139,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,263.84 : 307,660.86 = 92,774.28 : x
  2. Step 2: Convert to fraction form
    205,263.84/307,660.86 = 92,774.28/x
  3. Step 3: Cross multiply
    205,263.84x = 307,660.86 × 92,774.28
  4. Step 4: Simplify right side
    205,263.84x = 28,543,014,770.68
  5. Step 5: Solve for x
    x = 28,543,014,770.68/205,263.84
  6. Step 6: Final answer
    x = 139,055.25

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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.