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Finding the Fourth Proportional to 118,967, 178,442.15 and 55,800.98

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Solution

The fourth proportional to 118,967, 178,442.15 and 55,800.98 is: 83,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,967 : 178,442.15 = 55,800.98 : x
  2. Step 2: Convert to fraction form
    118,967/178,442.15 = 55,800.98/x
  3. Step 3: Cross multiply
    118,967x = 178,442.15 × 55,800.98
  4. Step 4: Simplify right side
    118,967x = 9,957,245,951.10
  5. Step 5: Solve for x
    x = 9,957,245,951.10/118,967
  6. Step 6: Final answer
    x = 83,697.55

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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.