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Finding the Fourth Proportional to 268,684.88, 370,785.12 and 147,823.60

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Solution

The fourth proportional to 268,684.88, 370,785.12 and 147,823.60 is: 203,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,684.88 : 370,785.12 = 147,823.60 : x
  2. Step 2: Convert to fraction form
    268,684.88/370,785.12 = 147,823.60/x
  3. Step 3: Cross multiply
    268,684.88x = 370,785.12 × 147,823.60
  4. Step 4: Simplify right side
    268,684.88x = 54,810,791,264.83
  5. Step 5: Solve for x
    x = 54,810,791,264.83/268,684.88
  6. Step 6: Final answer
    x = 203,996.56

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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.