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Finding the Fourth Proportional to 204,980.46, 282,824.90 and 124,406.11

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Solution

The fourth proportional to 204,980.46, 282,824.90 and 124,406.11 is: 171,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,980.46 : 282,824.90 = 124,406.11 : x
  2. Step 2: Convert to fraction form
    204,980.46/282,824.90 = 124,406.11/x
  3. Step 3: Cross multiply
    204,980.46x = 282,824.90 × 124,406.11
  4. Step 4: Simplify right side
    204,980.46x = 35,185,145,818.16
  5. Step 5: Solve for x
    x = 35,185,145,818.16/204,980.46
  6. Step 6: Final answer
    x = 171,651.22

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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.