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Finding the Fourth Proportional to 114,131, 171,274.26 and 40,259

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Solution

The fourth proportional to 114,131, 171,274.26 and 40,259 is: 60,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,131 : 171,274.26 = 40,259 : x
  2. Step 2: Convert to fraction form
    114,131/171,274.26 = 40,259/x
  3. Step 3: Cross multiply
    114,131x = 171,274.26 × 40,259
  4. Step 4: Simplify right side
    114,131x = 6,895,330,433.34
  5. Step 5: Solve for x
    x = 6,895,330,433.34/114,131
  6. Step 6: Final answer
    x = 60,415.93

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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.