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Finding the Fourth Proportional to 105,375.36, 145,560 and 84,305.28

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Solution

The fourth proportional to 105,375.36, 145,560 and 84,305.28 is: 116,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,375.36 : 145,560 = 84,305.28 : x
  2. Step 2: Convert to fraction form
    105,375.36/145,560 = 84,305.28/x
  3. Step 3: Cross multiply
    105,375.36x = 145,560 × 84,305.28
  4. Step 4: Simplify right side
    105,375.36x = 12,271,476,556.80
  5. Step 5: Solve for x
    x = 12,271,476,556.80/105,375.36
  6. Step 6: Final answer
    x = 116,454.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.