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Finding the Fourth Proportional to 84,177.63, 116,210.84 and 61,493.31

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Solution

The fourth proportional to 84,177.63, 116,210.84 and 61,493.31 is: 84,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,177.63 : 116,210.84 = 61,493.31 : x
  2. Step 2: Convert to fraction form
    84,177.63/116,210.84 = 61,493.31/x
  3. Step 3: Cross multiply
    84,177.63x = 116,210.84 × 61,493.31
  4. Step 4: Simplify right side
    84,177.63x = 7,146,188,902.01
  5. Step 5: Solve for x
    x = 7,146,188,902.01/84,177.63
  6. Step 6: Final answer
    x = 84,894.16

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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.