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Finding the Fourth Proportional to 118,158.96, 177,238.44 and 48,021.84

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Solution

The fourth proportional to 118,158.96, 177,238.44 and 48,021.84 is: 72,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,158.96 : 177,238.44 = 48,021.84 : x
  2. Step 2: Convert to fraction form
    118,158.96/177,238.44 = 48,021.84/x
  3. Step 3: Cross multiply
    118,158.96x = 177,238.44 × 48,021.84
  4. Step 4: Simplify right side
    118,158.96x = 8,511,316,007.53
  5. Step 5: Solve for x
    x = 8,511,316,007.53/118,158.96
  6. Step 6: Final answer
    x = 72,032.76

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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.