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Finding the Fourth Proportional to 129,596.01, 178,865.38 and 102,941.94

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Solution

The fourth proportional to 129,596.01, 178,865.38 and 102,941.94 is: 142,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,596.01 : 178,865.38 = 102,941.94 : x
  2. Step 2: Convert to fraction form
    129,596.01/178,865.38 = 102,941.94/x
  3. Step 3: Cross multiply
    129,596.01x = 178,865.38 × 102,941.94
  4. Step 4: Simplify right side
    129,596.01x = 18,412,749,216.04
  5. Step 5: Solve for x
    x = 18,412,749,216.04/129,596.01
  6. Step 6: Final answer
    x = 142,078.06

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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.