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Finding the Fourth Proportional to 255,892.10, 353,016.93 and 148,399.86

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Solution

The fourth proportional to 255,892.10, 353,016.93 and 148,399.86 is: 204,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,892.10 : 353,016.93 = 148,399.86 : x
  2. Step 2: Convert to fraction form
    255,892.10/353,016.93 = 148,399.86/x
  3. Step 3: Cross multiply
    255,892.10x = 353,016.93 × 148,399.86
  4. Step 4: Simplify right side
    255,892.10x = 52,387,664,869.94
  5. Step 5: Solve for x
    x = 52,387,664,869.94/255,892.10
  6. Step 6: Final answer
    x = 204,725.61

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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.