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Finding the Fourth Proportional to 264,574.15, 365,116.26 and 149,849.94

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Solution

The fourth proportional to 264,574.15, 365,116.26 and 149,849.94 is: 206,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,574.15 : 365,116.26 = 149,849.94 : x
  2. Step 2: Convert to fraction form
    264,574.15/365,116.26 = 149,849.94/x
  3. Step 3: Cross multiply
    264,574.15x = 365,116.26 × 149,849.94
  4. Step 4: Simplify right side
    264,574.15x = 54,712,649,654.02
  5. Step 5: Solve for x
    x = 54,712,649,654.02/264,574.15
  6. Step 6: Final answer
    x = 206,795.14

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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.