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Finding the Fourth Proportional to 276,980.46, 382,233.20 and 149,656.02

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Solution

The fourth proportional to 276,980.46, 382,233.20 and 149,656.02 is: 206,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,980.46 : 382,233.20 = 149,656.02 : x
  2. Step 2: Convert to fraction form
    276,980.46/382,233.20 = 149,656.02/x
  3. Step 3: Cross multiply
    276,980.46x = 382,233.20 × 149,656.02
  4. Step 4: Simplify right side
    276,980.46x = 57,203,499,423.86
  5. Step 5: Solve for x
    x = 57,203,499,423.86/276,980.46
  6. Step 6: Final answer
    x = 206,525.40

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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.