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Finding the Fourth Proportional to 102,210.96, 141,067.98 and 59,761.26

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Solution

The fourth proportional to 102,210.96, 141,067.98 and 59,761.26 is: 82,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,210.96 : 141,067.98 = 59,761.26 : x
  2. Step 2: Convert to fraction form
    102,210.96/141,067.98 = 59,761.26/x
  3. Step 3: Cross multiply
    102,210.96x = 141,067.98 × 59,761.26
  4. Step 4: Simplify right side
    102,210.96x = 8,430,400,230.45
  5. Step 5: Solve for x
    x = 8,430,400,230.45/102,210.96
  6. Step 6: Final answer
    x = 82,480.39

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Why These Related Problems?

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