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Finding the Fourth Proportional to 208,048.66, 311,885.66 and 74,835.28

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Solution

The fourth proportional to 208,048.66, 311,885.66 and 74,835.28 is: 112,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,048.66 : 311,885.66 = 74,835.28 : x
  2. Step 2: Convert to fraction form
    208,048.66/311,885.66 = 74,835.28/x
  3. Step 3: Cross multiply
    208,048.66x = 311,885.66 × 74,835.28
  4. Step 4: Simplify right side
    208,048.66x = 23,340,050,694.08
  5. Step 5: Solve for x
    x = 23,340,050,694.08/208,048.66
  6. Step 6: Final answer
    x = 112,185.54

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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.