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Finding the Fourth Proportional to 172,564.40, 258,992.40 and 67,458.80

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Solution

The fourth proportional to 172,564.40, 258,992.40 and 67,458.80 is: 101,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,564.40 : 258,992.40 = 67,458.80 : x
  2. Step 2: Convert to fraction form
    172,564.40/258,992.40 = 67,458.80/x
  3. Step 3: Cross multiply
    172,564.40x = 258,992.40 × 67,458.80
  4. Step 4: Simplify right side
    172,564.40x = 17,471,316,513.12
  5. Step 5: Solve for x
    x = 17,471,316,513.12/172,564.40
  6. Step 6: Final answer
    x = 101,245.20

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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.