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Finding the Fourth Proportional to 255,009.96, 351,716.04 and 164,380.68

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Solution

The fourth proportional to 255,009.96, 351,716.04 and 164,380.68 is: 226,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,009.96 : 351,716.04 = 164,380.68 : x
  2. Step 2: Convert to fraction form
    255,009.96/351,716.04 = 164,380.68/x
  3. Step 3: Cross multiply
    255,009.96x = 351,716.04 × 164,380.68
  4. Step 4: Simplify right side
    255,009.96x = 57,815,321,822.11
  5. Step 5: Solve for x
    x = 57,815,321,822.11/255,009.96
  6. Step 6: Final answer
    x = 226,717.90

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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.