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Finding the Fourth Proportional to 97,402.92, 146,133.18 and 41,214.12

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Solution

The fourth proportional to 97,402.92, 146,133.18 and 41,214.12 is: 61,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,402.92 : 146,133.18 = 41,214.12 : x
  2. Step 2: Convert to fraction form
    97,402.92/146,133.18 = 41,214.12/x
  3. Step 3: Cross multiply
    97,402.92x = 146,133.18 × 41,214.12
  4. Step 4: Simplify right side
    97,402.92x = 6,022,750,416.50
  5. Step 5: Solve for x
    x = 6,022,750,416.50/97,402.92
  6. Step 6: Final answer
    x = 61,833.37

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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.