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Finding the Fourth Proportional to 147,883.74, 204,079.11 and 80,815.74

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Solution

The fourth proportional to 147,883.74, 204,079.11 and 80,815.74 is: 111,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,883.74 : 204,079.11 = 80,815.74 : x
  2. Step 2: Convert to fraction form
    147,883.74/204,079.11 = 80,815.74/x
  3. Step 3: Cross multiply
    147,883.74x = 204,079.11 × 80,815.74
  4. Step 4: Simplify right side
    147,883.74x = 16,492,804,293.19
  5. Step 5: Solve for x
    x = 16,492,804,293.19/147,883.74
  6. Step 6: Final answer
    x = 111,525.47

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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.