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Finding the Fourth Proportional to 203,913.45, 305,870.18 and 133,054.65

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Solution

The fourth proportional to 203,913.45, 305,870.18 and 133,054.65 is: 199,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,913.45 : 305,870.18 = 133,054.65 : x
  2. Step 2: Convert to fraction form
    203,913.45/305,870.18 = 133,054.65/x
  3. Step 3: Cross multiply
    203,913.45x = 305,870.18 × 133,054.65
  4. Step 4: Simplify right side
    203,913.45x = 40,697,449,080.06
  5. Step 5: Solve for x
    x = 40,697,449,080.06/203,913.45
  6. Step 6: Final answer
    x = 199,581.98

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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.