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Finding the Fourth Proportional to 199,103.64, 274,763.04 and 109,679.64

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Solution

The fourth proportional to 199,103.64, 274,763.04 and 109,679.64 is: 151,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,103.64 : 274,763.04 = 109,679.64 : x
  2. Step 2: Convert to fraction form
    199,103.64/274,763.04 = 109,679.64/x
  3. Step 3: Cross multiply
    199,103.64x = 274,763.04 × 109,679.64
  4. Step 4: Simplify right side
    199,103.64x = 30,135,911,312.51
  5. Step 5: Solve for x
    x = 30,135,911,312.51/199,103.64
  6. Step 6: Final answer
    x = 151,357.91

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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.