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Finding the Fourth Proportional to 263,790.78, 364,026.49 and 149,066.95

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Solution

The fourth proportional to 263,790.78, 364,026.49 and 149,066.95 is: 205,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,790.78 : 364,026.49 = 149,066.95 : x
  2. Step 2: Convert to fraction form
    263,790.78/364,026.49 = 149,066.95/x
  3. Step 3: Cross multiply
    263,790.78x = 364,026.49 × 149,066.95
  4. Step 4: Simplify right side
    263,790.78x = 54,264,317,076.46
  5. Step 5: Solve for x
    x = 54,264,317,076.46/263,790.78
  6. Step 6: Final answer
    x = 205,709.68

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1.5x scale

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.