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Finding the Fourth Proportional to 305,159.52, 457,739.32 and 94,797.44

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Solution

The fourth proportional to 305,159.52, 457,739.32 and 94,797.44 is: 142,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,159.52 : 457,739.32 = 94,797.44 : x
  2. Step 2: Convert to fraction form
    305,159.52/457,739.32 = 94,797.44/x
  3. Step 3: Cross multiply
    305,159.52x = 457,739.32 × 94,797.44
  4. Step 4: Simplify right side
    305,159.52x = 43,392,515,723.34
  5. Step 5: Solve for x
    x = 43,392,515,723.34/305,159.52
  6. Step 6: Final answer
    x = 142,196.17

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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.