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Finding the Fourth Proportional to 106,667.12, 160,101.12 and 54,114.32

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Solution

The fourth proportional to 106,667.12, 160,101.12 and 54,114.32 is: 81,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,667.12 : 160,101.12 = 54,114.32 : x
  2. Step 2: Convert to fraction form
    106,667.12/160,101.12 = 54,114.32/x
  3. Step 3: Cross multiply
    106,667.12x = 160,101.12 × 54,114.32
  4. Step 4: Simplify right side
    106,667.12x = 8,663,763,240.04
  5. Step 5: Solve for x
    x = 8,663,763,240.04/106,667.12
  6. Step 6: Final answer
    x = 81,222.44

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1.5x scale

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.