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Finding the Fourth Proportional to 135,295.98, 186,671.22 and 84,316.98

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Solution

The fourth proportional to 135,295.98, 186,671.22 and 84,316.98 is: 116,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,295.98 : 186,671.22 = 84,316.98 : x
  2. Step 2: Convert to fraction form
    135,295.98/186,671.22 = 84,316.98/x
  3. Step 3: Cross multiply
    135,295.98x = 186,671.22 × 84,316.98
  4. Step 4: Simplify right side
    135,295.98x = 15,739,553,523.32
  5. Step 5: Solve for x
    x = 15,739,553,523.32/135,295.98
  6. Step 6: Final answer
    x = 116,334.23

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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.