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Finding the Fourth Proportional to 172,009.64, 258,114.14 and 72,161

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Solution

The fourth proportional to 172,009.64, 258,114.14 and 72,161 is: 108,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,009.64 : 258,114.14 = 72,161 : x
  2. Step 2: Convert to fraction form
    172,009.64/258,114.14 = 72,161/x
  3. Step 3: Cross multiply
    172,009.64x = 258,114.14 × 72,161
  4. Step 4: Simplify right side
    172,009.64x = 18,625,774,456.54
  5. Step 5: Solve for x
    x = 18,625,774,456.54/172,009.64
  6. Step 6: Final answer
    x = 108,283.32

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