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Finding the Fourth Proportional to 200,751.24, 301,154.40 and 116,550.96

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Solution

The fourth proportional to 200,751.24, 301,154.40 and 116,550.96 is: 174,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,751.24 : 301,154.40 = 116,550.96 : x
  2. Step 2: Convert to fraction form
    200,751.24/301,154.40 = 116,550.96/x
  3. Step 3: Cross multiply
    200,751.24x = 301,154.40 × 116,550.96
  4. Step 4: Simplify right side
    200,751.24x = 35,099,834,428.22
  5. Step 5: Solve for x
    x = 35,099,834,428.22/200,751.24
  6. Step 6: Final answer
    x = 174,842.43

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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.