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Finding the Fourth Proportional to 76,423.40, 114,537.90 and 68,064.20

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Solution

The fourth proportional to 76,423.40, 114,537.90 and 68,064.20 is: 102,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,423.40 : 114,537.90 = 68,064.20 : x
  2. Step 2: Convert to fraction form
    76,423.40/114,537.90 = 68,064.20/x
  3. Step 3: Cross multiply
    76,423.40x = 114,537.90 × 68,064.20
  4. Step 4: Simplify right side
    76,423.40x = 7,795,930,533.18
  5. Step 5: Solve for x
    x = 7,795,930,533.18/76,423.40
  6. Step 6: Final answer
    x = 102,009.73

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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.