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Finding the Fourth Proportional to 172,684.96, 258,923.76 and 117,112.48

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Solution

The fourth proportional to 172,684.96, 258,923.76 and 117,112.48 is: 175,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,684.96 : 258,923.76 = 117,112.48 : x
  2. Step 2: Convert to fraction form
    172,684.96/258,923.76 = 117,112.48/x
  3. Step 3: Cross multiply
    172,684.96x = 258,923.76 × 117,112.48
  4. Step 4: Simplify right side
    172,684.96x = 30,323,203,664.52
  5. Step 5: Solve for x
    x = 30,323,203,664.52/172,684.96
  6. Step 6: Final answer
    x = 175,598.41

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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.