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Finding the Fourth Proportional to 268,119.46, 370,009.20 and 147,271.78

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Solution

The fourth proportional to 268,119.46, 370,009.20 and 147,271.78 is: 203,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,119.46 : 370,009.20 = 147,271.78 : x
  2. Step 2: Convert to fraction form
    268,119.46/370,009.20 = 147,271.78/x
  3. Step 3: Cross multiply
    268,119.46x = 370,009.20 × 147,271.78
  4. Step 4: Simplify right side
    268,119.46x = 54,491,913,500.38
  5. Step 5: Solve for x
    x = 54,491,913,500.38/268,119.46
  6. Step 6: Final answer
    x = 203,237.44

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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.