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Finding the Fourth Proportional to 97,423.68, 146,142.12 and 34,236.12

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Solution

The fourth proportional to 97,423.68, 146,142.12 and 34,236.12 is: 51,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,423.68 : 146,142.12 = 34,236.12 : x
  2. Step 2: Convert to fraction form
    97,423.68/146,142.12 = 34,236.12/x
  3. Step 3: Cross multiply
    97,423.68x = 146,142.12 × 34,236.12
  4. Step 4: Simplify right side
    97,423.68x = 5,003,339,157.37
  5. Step 5: Solve for x
    x = 5,003,339,157.37/97,423.68
  6. Step 6: Final answer
    x = 51,356.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.