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Finding the Fourth Proportional to 111,298, 166,903.24 and 41,129.32

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Solution

The fourth proportional to 111,298, 166,903.24 and 41,129.32 is: 61,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,298 : 166,903.24 = 41,129.32 : x
  2. Step 2: Convert to fraction form
    111,298/166,903.24 = 41,129.32/x
  3. Step 3: Cross multiply
    111,298x = 166,903.24 × 41,129.32
  4. Step 4: Simplify right side
    111,298x = 6,864,616,767.00
  5. Step 5: Solve for x
    x = 6,864,616,767.00/111,298
  6. Step 6: Final answer
    x = 61,677.81

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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.