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Finding the Fourth Proportional to 140,226.48, 193,516.50 and 76,568.28

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Solution

The fourth proportional to 140,226.48, 193,516.50 and 76,568.28 is: 105,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,226.48 : 193,516.50 = 76,568.28 : x
  2. Step 2: Convert to fraction form
    140,226.48/193,516.50 = 76,568.28/x
  3. Step 3: Cross multiply
    140,226.48x = 193,516.50 × 76,568.28
  4. Step 4: Simplify right side
    140,226.48x = 14,817,225,556.62
  5. Step 5: Solve for x
    x = 14,817,225,556.62/140,226.48
  6. Step 6: Final answer
    x = 105,666.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.