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Finding the Fourth Proportional to 111,340, 166,591.50 and 78,124.87

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Solution

The fourth proportional to 111,340, 166,591.50 and 78,124.87 is: 116,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,340 : 166,591.50 = 78,124.87 : x
  2. Step 2: Convert to fraction form
    111,340/166,591.50 = 78,124.87/x
  3. Step 3: Cross multiply
    111,340x = 166,591.50 × 78,124.87
  4. Step 4: Simplify right side
    111,340x = 13,014,939,280.61
  5. Step 5: Solve for x
    x = 13,014,939,280.61/111,340
  6. Step 6: Final answer
    x = 116,893.65

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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.