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Finding the Fourth Proportional to 209,588.41, 313,416.92 and 155,654.94

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Solution

The fourth proportional to 209,588.41, 313,416.92 and 155,654.94 is: 232,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,588.41 : 313,416.92 = 155,654.94 : x
  2. Step 2: Convert to fraction form
    209,588.41/313,416.92 = 155,654.94/x
  3. Step 3: Cross multiply
    209,588.41x = 313,416.92 × 155,654.94
  4. Step 4: Simplify right side
    209,588.41x = 48,784,892,122.77
  5. Step 5: Solve for x
    x = 48,784,892,122.77/209,588.41
  6. Step 6: Final answer
    x = 232,765.22

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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.