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Finding the Fourth Proportional to 101,844.30, 152,674.10 and 55,042.50

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Solution

The fourth proportional to 101,844.30, 152,674.10 and 55,042.50 is: 82,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,844.30 : 152,674.10 = 55,042.50 : x
  2. Step 2: Convert to fraction form
    101,844.30/152,674.10 = 55,042.50/x
  3. Step 3: Cross multiply
    101,844.30x = 152,674.10 × 55,042.50
  4. Step 4: Simplify right side
    101,844.30x = 8,403,564,149.25
  5. Step 5: Solve for x
    x = 8,403,564,149.25/101,844.30
  6. Step 6: Final answer
    x = 82,513.84

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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.