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Finding the Fourth Proportional to 101,364.17, 152,067.72 and 30,292.34

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Solution

The fourth proportional to 101,364.17, 152,067.72 and 30,292.34 is: 45,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,364.17 : 152,067.72 = 30,292.34 : x
  2. Step 2: Convert to fraction form
    101,364.17/152,067.72 = 30,292.34/x
  3. Step 3: Cross multiply
    101,364.17x = 152,067.72 × 30,292.34
  4. Step 4: Simplify right side
    101,364.17x = 4,606,487,571.03
  5. Step 5: Solve for x
    x = 4,606,487,571.03/101,364.17
  6. Step 6: Final answer
    x = 45,444.93

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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.