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Finding the Fourth Proportional to 252,002.59, 377,872.64 and 118,847.10

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Solution

The fourth proportional to 252,002.59, 377,872.64 and 118,847.10 is: 178,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,002.59 : 377,872.64 = 118,847.10 : x
  2. Step 2: Convert to fraction form
    252,002.59/377,872.64 = 118,847.10/x
  3. Step 3: Cross multiply
    252,002.59x = 377,872.64 × 118,847.10
  4. Step 4: Simplify right side
    252,002.59x = 44,909,067,244.79
  5. Step 5: Solve for x
    x = 44,909,067,244.79/252,002.59
  6. Step 6: Final answer
    x = 178,208.75

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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.