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Finding the Fourth Proportional to 159,103.82, 238,655.64 and 46,784.97

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Solution

The fourth proportional to 159,103.82, 238,655.64 and 46,784.97 is: 70,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,103.82 : 238,655.64 = 46,784.97 : x
  2. Step 2: Convert to fraction form
    159,103.82/238,655.64 = 46,784.97/x
  3. Step 3: Cross multiply
    159,103.82x = 238,655.64 × 46,784.97
  4. Step 4: Simplify right side
    159,103.82x = 11,165,496,957.73
  5. Step 5: Solve for x
    x = 11,165,496,957.73/159,103.82
  6. Step 6: Final answer
    x = 70,177.43

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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.