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Finding the Fourth Proportional to 114,654.82, 171,919.08 and 61,409.20

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Solution

The fourth proportional to 114,654.82, 171,919.08 and 61,409.20 is: 92,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,654.82 : 171,919.08 = 61,409.20 : x
  2. Step 2: Convert to fraction form
    114,654.82/171,919.08 = 61,409.20/x
  3. Step 3: Cross multiply
    114,654.82x = 171,919.08 × 61,409.20
  4. Step 4: Simplify right side
    114,654.82x = 10,557,413,167.54
  5. Step 5: Solve for x
    x = 10,557,413,167.54/114,654.82
  6. Step 6: Final answer
    x = 92,079.98

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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.