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Finding the Fourth Proportional to 205,604.40, 308,075.40 and 116,593.20

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Solution

The fourth proportional to 205,604.40, 308,075.40 and 116,593.20 is: 174,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,604.40 : 308,075.40 = 116,593.20 : x
  2. Step 2: Convert to fraction form
    205,604.40/308,075.40 = 116,593.20/x
  3. Step 3: Cross multiply
    205,604.40x = 308,075.40 × 116,593.20
  4. Step 4: Simplify right side
    205,604.40x = 35,919,496,727.28
  5. Step 5: Solve for x
    x = 35,919,496,727.28/205,604.40
  6. Step 6: Final answer
    x = 174,701.98

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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.