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Finding the Fourth Proportional to 172,850, 238,554.12 and 97,412.24

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Solution

The fourth proportional to 172,850, 238,554.12 and 97,412.24 is: 134,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,850 : 238,554.12 = 97,412.24 : x
  2. Step 2: Convert to fraction form
    172,850/238,554.12 = 97,412.24/x
  3. Step 3: Cross multiply
    172,850x = 238,554.12 × 97,412.24
  4. Step 4: Simplify right side
    172,850x = 23,238,091,190.43
  5. Step 5: Solve for x
    x = 23,238,091,190.43/172,850
  6. Step 6: Final answer
    x = 134,440.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.