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Finding the Fourth Proportional to 114,129, 171,194.04 and 40,257

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Solution

The fourth proportional to 114,129, 171,194.04 and 40,257 is: 60,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,129 : 171,194.04 = 40,257 : x
  2. Step 2: Convert to fraction form
    114,129/171,194.04 = 40,257/x
  3. Step 3: Cross multiply
    114,129x = 171,194.04 × 40,257
  4. Step 4: Simplify right side
    114,129x = 6,891,758,468.28
  5. Step 5: Solve for x
    x = 6,891,758,468.28/114,129
  6. Step 6: Final answer
    x = 60,385.69

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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.