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Finding the Fourth Proportional to 200,747.34, 301,025.69 and 116,533.34

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Solution

The fourth proportional to 200,747.34, 301,025.69 and 116,533.34 is: 174,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,747.34 : 301,025.69 = 116,533.34 : x
  2. Step 2: Convert to fraction form
    200,747.34/301,025.69 = 116,533.34/x
  3. Step 3: Cross multiply
    200,747.34x = 301,025.69 × 116,533.34
  4. Step 4: Simplify right side
    200,747.34x = 35,079,529,081.50
  5. Step 5: Solve for x
    x = 35,079,529,081.50/200,747.34
  6. Step 6: Final answer
    x = 174,744.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.