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Finding the Fourth Proportional to 68,216.64, 102,228.36 and 51,338.40

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Solution

The fourth proportional to 68,216.64, 102,228.36 and 51,338.40 is: 76,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,216.64 : 102,228.36 = 51,338.40 : x
  2. Step 2: Convert to fraction form
    68,216.64/102,228.36 = 51,338.40/x
  3. Step 3: Cross multiply
    68,216.64x = 102,228.36 × 51,338.40
  4. Step 4: Simplify right side
    68,216.64x = 5,248,240,437.02
  5. Step 5: Solve for x
    x = 5,248,240,437.02/68,216.64
  6. Step 6: Final answer
    x = 76,934.90

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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.