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Finding the Fourth Proportional to 183,971.64, 275,904.16 and 71,626.82

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Solution

The fourth proportional to 183,971.64, 275,904.16 and 71,626.82 is: 107,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,971.64 : 275,904.16 = 71,626.82 : x
  2. Step 2: Convert to fraction form
    183,971.64/275,904.16 = 71,626.82/x
  3. Step 3: Cross multiply
    183,971.64x = 275,904.16 × 71,626.82
  4. Step 4: Simplify right side
    183,971.64x = 19,762,137,605.57
  5. Step 5: Solve for x
    x = 19,762,137,605.57/183,971.64
  6. Step 6: Final answer
    x = 107,419.48

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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.