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Finding the Fourth Proportional to 102,914.35, 154,420.43 and 36,385.81

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Solution

The fourth proportional to 102,914.35, 154,420.43 and 36,385.81 is: 54,596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,914.35 : 154,420.43 = 36,385.81 : x
  2. Step 2: Convert to fraction form
    102,914.35/154,420.43 = 36,385.81/x
  3. Step 3: Cross multiply
    102,914.35x = 154,420.43 × 36,385.81
  4. Step 4: Simplify right side
    102,914.35x = 5,618,711,858.12
  5. Step 5: Solve for x
    x = 5,618,711,858.12/102,914.35
  6. Step 6: Final answer
    x = 54,596.00

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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.