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Finding the Fourth Proportional to 289,154.89, 398,986.14 and 181,648.79

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Solution

The fourth proportional to 289,154.89, 398,986.14 and 181,648.79 is: 250,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,154.89 : 398,986.14 = 181,648.79 : x
  2. Step 2: Convert to fraction form
    289,154.89/398,986.14 = 181,648.79/x
  3. Step 3: Cross multiply
    289,154.89x = 398,986.14 × 181,648.79
  4. Step 4: Simplify right side
    289,154.89x = 72,475,346,654.60
  5. Step 5: Solve for x
    x = 72,475,346,654.60/289,154.89
  6. Step 6: Final answer
    x = 250,645.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.