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Finding the Fourth Proportional to 172,536.24, 258,830.50 and 54,196.46

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Solution

The fourth proportional to 172,536.24, 258,830.50 and 54,196.46 is: 81,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,536.24 : 258,830.50 = 54,196.46 : x
  2. Step 2: Convert to fraction form
    172,536.24/258,830.50 = 54,196.46/x
  3. Step 3: Cross multiply
    172,536.24x = 258,830.50 × 54,196.46
  4. Step 4: Simplify right side
    172,536.24x = 14,027,696,840.03
  5. Step 5: Solve for x
    x = 14,027,696,840.03/172,536.24
  6. Step 6: Final answer
    x = 81,302.90

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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.