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Finding the Fourth Proportional to 202,686.72, 303,733.44 and 114,113.04

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Solution

The fourth proportional to 202,686.72, 303,733.44 and 114,113.04 is: 171,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,686.72 : 303,733.44 = 114,113.04 : x
  2. Step 2: Convert to fraction form
    202,686.72/303,733.44 = 114,113.04/x
  3. Step 3: Cross multiply
    202,686.72x = 303,733.44 × 114,113.04
  4. Step 4: Simplify right side
    202,686.72x = 34,659,946,188.06
  5. Step 5: Solve for x
    x = 34,659,946,188.06/202,686.72
  6. Step 6: Final answer
    x = 171,002.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.