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Finding the Fourth Proportional to 114,634.30, 171,623.40 and 101,512.30

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Solution

The fourth proportional to 114,634.30, 171,623.40 and 101,512.30 is: 151,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,634.30 : 171,623.40 = 101,512.30 : x
  2. Step 2: Convert to fraction form
    114,634.30/171,623.40 = 101,512.30/x
  3. Step 3: Cross multiply
    114,634.30x = 171,623.40 × 101,512.30
  4. Step 4: Simplify right side
    114,634.30x = 17,421,886,067.82
  5. Step 5: Solve for x
    x = 17,421,886,067.82/114,634.30
  6. Step 6: Final answer
    x = 151,977.95

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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.