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Finding the Fourth Proportional to 172,201.23, 258,302.35 and 52,259.16

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Solution

The fourth proportional to 172,201.23, 258,302.35 and 52,259.16 is: 78,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,201.23 : 258,302.35 = 52,259.16 : x
  2. Step 2: Convert to fraction form
    172,201.23/258,302.35 = 52,259.16/x
  3. Step 3: Cross multiply
    172,201.23x = 258,302.35 × 52,259.16
  4. Step 4: Simplify right side
    172,201.23x = 13,498,663,837.03
  5. Step 5: Solve for x
    x = 13,498,663,837.03/172,201.23
  6. Step 6: Final answer
    x = 78,388.89

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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.