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Finding the Fourth Proportional to 270,494.64, 405,778.88 and 112,686.19

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Solution

The fourth proportional to 270,494.64, 405,778.88 and 112,686.19 is: 169,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,494.64 : 405,778.88 = 112,686.19 : x
  2. Step 2: Convert to fraction form
    270,494.64/405,778.88 = 112,686.19/x
  3. Step 3: Cross multiply
    270,494.64x = 405,778.88 × 112,686.19
  4. Step 4: Simplify right side
    270,494.64x = 45,725,675,236.94
  5. Step 5: Solve for x
    x = 45,725,675,236.94/270,494.64
  6. Step 6: Final answer
    x = 169,044.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.