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Finding the Fourth Proportional to 205,914.80, 308,526.60 and 100,506.80

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Solution

The fourth proportional to 205,914.80, 308,526.60 and 100,506.80 is: 150,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,914.80 : 308,526.60 = 100,506.80 : x
  2. Step 2: Convert to fraction form
    205,914.80/308,526.60 = 100,506.80/x
  3. Step 3: Cross multiply
    205,914.80x = 308,526.60 × 100,506.80
  4. Step 4: Simplify right side
    205,914.80x = 31,009,021,280.88
  5. Step 5: Solve for x
    x = 31,009,021,280.88/205,914.80
  6. Step 6: Final answer
    x = 150,591.51

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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.