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Finding the Fourth Proportional to 289,993.80, 434,969.10 and 121,470.60

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Solution

The fourth proportional to 289,993.80, 434,969.10 and 121,470.60 is: 182,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,993.80 : 434,969.10 = 121,470.60 : x
  2. Step 2: Convert to fraction form
    289,993.80/434,969.10 = 121,470.60/x
  3. Step 3: Cross multiply
    289,993.80x = 434,969.10 × 121,470.60
  4. Step 4: Simplify right side
    289,993.80x = 52,835,957,558.46
  5. Step 5: Solve for x
    x = 52,835,957,558.46/289,993.80
  6. Step 6: Final answer
    x = 182,196.85

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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.