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Finding the Fourth Proportional to 178,511.12, 246,346.24 and 97,946

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Solution

The fourth proportional to 178,511.12, 246,346.24 and 97,946 is: 135,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,511.12 : 246,346.24 = 97,946 : x
  2. Step 2: Convert to fraction form
    178,511.12/246,346.24 = 97,946/x
  3. Step 3: Cross multiply
    178,511.12x = 246,346.24 × 97,946
  4. Step 4: Simplify right side
    178,511.12x = 24,128,628,823.04
  5. Step 5: Solve for x
    x = 24,128,628,823.04/178,511.12
  6. Step 6: Final answer
    x = 135,165.97

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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.