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Finding the Fourth Proportional to 276,957.48, 382,200.84 and 149,632.68

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Solution

The fourth proportional to 276,957.48, 382,200.84 and 149,632.68 is: 206,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,957.48 : 382,200.84 = 149,632.68 : x
  2. Step 2: Convert to fraction form
    276,957.48/382,200.84 = 149,632.68/x
  3. Step 3: Cross multiply
    276,957.48x = 382,200.84 × 149,632.68
  4. Step 4: Simplify right side
    276,957.48x = 57,189,735,987.45
  5. Step 5: Solve for x
    x = 57,189,735,987.45/276,957.48
  6. Step 6: Final answer
    x = 206,492.84

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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.