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Finding the Fourth Proportional to 264,498.36, 365,011.96 and 149,773.88

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Solution

The fourth proportional to 264,498.36, 365,011.96 and 149,773.88 is: 206,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,498.36 : 365,011.96 = 149,773.88 : x
  2. Step 2: Convert to fraction form
    264,498.36/365,011.96 = 149,773.88/x
  3. Step 3: Cross multiply
    264,498.36x = 365,011.96 × 149,773.88
  4. Step 4: Simplify right side
    264,498.36x = 54,669,257,495.60
  5. Step 5: Solve for x
    x = 54,669,257,495.60/264,498.36
  6. Step 6: Final answer
    x = 206,690.35

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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.