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Finding the Fourth Proportional to 133,959.06, 200,798.28 and 45,181.98

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Solution

The fourth proportional to 133,959.06, 200,798.28 and 45,181.98 is: 67,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,959.06 : 200,798.28 = 45,181.98 : x
  2. Step 2: Convert to fraction form
    133,959.06/200,798.28 = 45,181.98/x
  3. Step 3: Cross multiply
    133,959.06x = 200,798.28 × 45,181.98
  4. Step 4: Simplify right side
    133,959.06x = 9,072,463,870.99
  5. Step 5: Solve for x
    x = 9,072,463,870.99/133,959.06
  6. Step 6: Final answer
    x = 67,725.65

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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.