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Finding the Fourth Proportional to 264,034.86, 364,363.35 and 149,311.74

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Solution

The fourth proportional to 264,034.86, 364,363.35 and 149,311.74 is: 206,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,034.86 : 364,363.35 = 149,311.74 : x
  2. Step 2: Convert to fraction form
    264,034.86/364,363.35 = 149,311.74/x
  3. Step 3: Cross multiply
    264,034.86x = 364,363.35 × 149,311.74
  4. Step 4: Simplify right side
    264,034.86x = 54,403,725,780.73
  5. Step 5: Solve for x
    x = 54,403,725,780.73/264,034.86
  6. Step 6: Final answer
    x = 206,047.51

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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.