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Finding the Fourth Proportional to 185,206.56, 277,808.64 and 44,964.24

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Solution

The fourth proportional to 185,206.56, 277,808.64 and 44,964.24 is: 67,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,206.56 : 277,808.64 = 44,964.24 : x
  2. Step 2: Convert to fraction form
    185,206.56/277,808.64 = 44,964.24/x
  3. Step 3: Cross multiply
    185,206.56x = 277,808.64 × 44,964.24
  4. Step 4: Simplify right side
    185,206.56x = 12,491,454,363.03
  5. Step 5: Solve for x
    x = 12,491,454,363.03/185,206.56
  6. Step 6: Final answer
    x = 67,446.07

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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.