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Finding the Fourth Proportional to 92,020.54, 138,205.77 and 57,203.50

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Solution

The fourth proportional to 92,020.54, 138,205.77 and 57,203.50 is: 85,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,020.54 : 138,205.77 = 57,203.50 : x
  2. Step 2: Convert to fraction form
    92,020.54/138,205.77 = 57,203.50/x
  3. Step 3: Cross multiply
    92,020.54x = 138,205.77 × 57,203.50
  4. Step 4: Simplify right side
    92,020.54x = 7,905,853,764.20
  5. Step 5: Solve for x
    x = 7,905,853,764.20/92,020.54
  6. Step 6: Final answer
    x = 85,914.01

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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.