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Finding the Fourth Proportional to 301,082.72, 415,512.54 and 173,766.51

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Solution

The fourth proportional to 301,082.72, 415,512.54 and 173,766.51 is: 239,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,082.72 : 415,512.54 = 173,766.51 : x
  2. Step 2: Convert to fraction form
    301,082.72/415,512.54 = 173,766.51/x
  3. Step 3: Cross multiply
    301,082.72x = 415,512.54 × 173,766.51
  4. Step 4: Simplify right side
    301,082.72x = 72,202,163,937.04
  5. Step 5: Solve for x
    x = 72,202,163,937.04/301,082.72
  6. Step 6: Final answer
    x = 239,808.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.