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Finding the Fourth Proportional to 77,793.90, 116,431.65 and 68,462.70

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Solution

The fourth proportional to 77,793.90, 116,431.65 and 68,462.70 is: 102,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,793.90 : 116,431.65 = 68,462.70 : x
  2. Step 2: Convert to fraction form
    77,793.90/116,431.65 = 68,462.70/x
  3. Step 3: Cross multiply
    77,793.90x = 116,431.65 × 68,462.70
  4. Step 4: Simplify right side
    77,793.90x = 7,971,225,124.46
  5. Step 5: Solve for x
    x = 7,971,225,124.46/77,793.90
  6. Step 6: Final answer
    x = 102,465.94

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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.