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Finding the Fourth Proportional to 114,073.62, 170,967.87 and 54,893.40

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Solution

The fourth proportional to 114,073.62, 170,967.87 and 54,893.40 is: 82,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,073.62 : 170,967.87 = 54,893.40 : x
  2. Step 2: Convert to fraction form
    114,073.62/170,967.87 = 54,893.40/x
  3. Step 3: Cross multiply
    114,073.62x = 170,967.87 × 54,893.40
  4. Step 4: Simplify right side
    114,073.62x = 9,385,007,675.06
  5. Step 5: Solve for x
    x = 9,385,007,675.06/114,073.62
  6. Step 6: Final answer
    x = 82,271.50

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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.