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Finding the Fourth Proportional to 172,447.22, 258,709.74 and 52,514.90

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Solution

The fourth proportional to 172,447.22, 258,709.74 and 52,514.90 is: 78,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,447.22 : 258,709.74 = 52,514.90 : x
  2. Step 2: Convert to fraction form
    172,447.22/258,709.74 = 52,514.90/x
  3. Step 3: Cross multiply
    172,447.22x = 258,709.74 × 52,514.90
  4. Step 4: Simplify right side
    172,447.22x = 13,586,114,831.58
  5. Step 5: Solve for x
    x = 13,586,114,831.58/172,447.22
  6. Step 6: Final answer
    x = 78,784.19

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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.