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Finding the Fourth Proportional to 102,833.60, 154,262.72 and 36,259.96

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Solution

The fourth proportional to 102,833.60, 154,262.72 and 36,259.96 is: 54,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,833.60 : 154,262.72 = 36,259.96 : x
  2. Step 2: Convert to fraction form
    102,833.60/154,262.72 = 36,259.96/x
  3. Step 3: Cross multiply
    102,833.60x = 154,262.72 × 36,259.96
  4. Step 4: Simplify right side
    102,833.60x = 5,593,560,056.69
  5. Step 5: Solve for x
    x = 5,593,560,056.69/102,833.60
  6. Step 6: Final answer
    x = 54,394.28

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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.