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Finding the Fourth Proportional to 264,626.10, 365,177.70 and 143,764.74

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Solution

The fourth proportional to 264,626.10, 365,177.70 and 143,764.74 is: 198,391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,626.10 : 365,177.70 = 143,764.74 : x
  2. Step 2: Convert to fraction form
    264,626.10/365,177.70 = 143,764.74/x
  3. Step 3: Cross multiply
    264,626.10x = 365,177.70 × 143,764.74
  4. Step 4: Simplify right side
    264,626.10x = 52,499,677,094.30
  5. Step 5: Solve for x
    x = 52,499,677,094.30/264,626.10
  6. Step 6: Final answer
    x = 198,391.91

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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.