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Finding the Fourth Proportional to 185,052.87, 277,459.02 and 72,744.08

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Solution

The fourth proportional to 185,052.87, 277,459.02 and 72,744.08 is: 109,068.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,052.87 : 277,459.02 = 72,744.08 : x
  2. Step 2: Convert to fraction form
    185,052.87/277,459.02 = 72,744.08/x
  3. Step 3: Cross multiply
    185,052.87x = 277,459.02 × 72,744.08
  4. Step 4: Simplify right side
    185,052.87x = 20,183,499,760.31
  5. Step 5: Solve for x
    x = 20,183,499,760.31/185,052.87
  6. Step 6: Final answer
    x = 109,068.83

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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.