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Finding the Fourth Proportional to 85,084.86, 117,385.38 and 84,953.64

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Solution

The fourth proportional to 85,084.86, 117,385.38 and 84,953.64 is: 117,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,084.86 : 117,385.38 = 84,953.64 : x
  2. Step 2: Convert to fraction form
    85,084.86/117,385.38 = 84,953.64/x
  3. Step 3: Cross multiply
    85,084.86x = 117,385.38 × 84,953.64
  4. Step 4: Simplify right side
    85,084.86x = 9,972,315,313.78
  5. Step 5: Solve for x
    x = 9,972,315,313.78/85,084.86
  6. Step 6: Final answer
    x = 117,204.35

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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.