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Finding the Fourth Proportional to 264,998.90, 365,704.50 and 144,146.64

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Solution

The fourth proportional to 264,998.90, 365,704.50 and 144,146.64 is: 198,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,998.90 : 365,704.50 = 144,146.64 : x
  2. Step 2: Convert to fraction form
    264,998.90/365,704.50 = 144,146.64/x
  3. Step 3: Cross multiply
    264,998.90x = 365,704.50 × 144,146.64
  4. Step 4: Simplify right side
    264,998.90x = 52,715,074,907.88
  5. Step 5: Solve for x
    x = 52,715,074,907.88/264,998.90
  6. Step 6: Final answer
    x = 198,925.64

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Why These Related Problems?

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