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Finding the Fourth Proportional to 133,209.52, 198,842.51 and 116,394.21

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Solution

The fourth proportional to 133,209.52, 198,842.51 and 116,394.21 is: 173,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,209.52 : 198,842.51 = 116,394.21 : x
  2. Step 2: Convert to fraction form
    133,209.52/198,842.51 = 116,394.21/x
  3. Step 3: Cross multiply
    133,209.52x = 198,842.51 × 116,394.21
  4. Step 4: Simplify right side
    133,209.52x = 23,144,116,865.87
  5. Step 5: Solve for x
    x = 23,144,116,865.87/133,209.52
  6. Step 6: Final answer
    x = 173,742.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.