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Finding the Fourth Proportional to 238,082.64, 328,559.44 and 130,659.48

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Solution

The fourth proportional to 238,082.64, 328,559.44 and 130,659.48 is: 180,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,082.64 : 328,559.44 = 130,659.48 : x
  2. Step 2: Convert to fraction form
    238,082.64/328,559.44 = 130,659.48/x
  3. Step 3: Cross multiply
    238,082.64x = 328,559.44 × 130,659.48
  4. Step 4: Simplify right side
    238,082.64x = 42,929,405,579.49
  5. Step 5: Solve for x
    x = 42,929,405,579.49/238,082.64
  6. Step 6: Final answer
    x = 180,313.04

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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.