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Finding the Fourth Proportional to 200,857.59, 301,288.46 and 51,097.95

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Solution

The fourth proportional to 200,857.59, 301,288.46 and 51,097.95 is: 76,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,857.59 : 301,288.46 = 51,097.95 : x
  2. Step 2: Convert to fraction form
    200,857.59/301,288.46 = 51,097.95/x
  3. Step 3: Cross multiply
    200,857.59x = 301,288.46 × 51,097.95
  4. Step 4: Simplify right side
    200,857.59x = 15,395,222,409.17
  5. Step 5: Solve for x
    x = 15,395,222,409.17/200,857.59
  6. Step 6: Final answer
    x = 76,647.45

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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.