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Finding the Fourth Proportional to 99,830.46, 137,771.62 and 54,512.66

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Solution

The fourth proportional to 99,830.46, 137,771.62 and 54,512.66 is: 75,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,830.46 : 137,771.62 = 54,512.66 : x
  2. Step 2: Convert to fraction form
    99,830.46/137,771.62 = 54,512.66/x
  3. Step 3: Cross multiply
    99,830.46x = 137,771.62 × 54,512.66
  4. Step 4: Simplify right side
    99,830.46x = 7,510,297,686.86
  5. Step 5: Solve for x
    x = 7,510,297,686.86/99,830.46
  6. Step 6: Final answer
    x = 75,230.52

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