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Finding the Fourth Proportional to 288,255.36, 432,082.12 and 98,659.88

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Solution

The fourth proportional to 288,255.36, 432,082.12 and 98,659.88 is: 147,886.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,255.36 : 432,082.12 = 98,659.88 : x
  2. Step 2: Convert to fraction form
    288,255.36/432,082.12 = 98,659.88/x
  3. Step 3: Cross multiply
    288,255.36x = 432,082.12 × 98,659.88
  4. Step 4: Simplify right side
    288,255.36x = 42,629,170,109.35
  5. Step 5: Solve for x
    x = 42,629,170,109.35/288,255.36
  6. Step 6: Final answer
    x = 147,886.83

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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.