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Finding the Fourth Proportional to 205,188.60, 307,637.10 and 92,922.60

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Solution

The fourth proportional to 205,188.60, 307,637.10 and 92,922.60 is: 139,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,188.60 : 307,637.10 = 92,922.60 : x
  2. Step 2: Convert to fraction form
    205,188.60/307,637.10 = 92,922.60/x
  3. Step 3: Cross multiply
    205,188.60x = 307,637.10 × 92,922.60
  4. Step 4: Simplify right side
    205,188.60x = 28,586,439,188.46
  5. Step 5: Solve for x
    x = 28,586,439,188.46/205,188.60
  6. Step 6: Final answer
    x = 139,317.87

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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.