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Finding the Fourth Proportional to 115,342.80, 172,868.40 and 84,141.60

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Solution

The fourth proportional to 115,342.80, 172,868.40 and 84,141.60 is: 126,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,342.80 : 172,868.40 = 84,141.60 : x
  2. Step 2: Convert to fraction form
    115,342.80/172,868.40 = 84,141.60/x
  3. Step 3: Cross multiply
    115,342.80x = 172,868.40 × 84,141.60
  4. Step 4: Simplify right side
    115,342.80x = 14,545,423,765.44
  5. Step 5: Solve for x
    x = 14,545,423,765.44/115,342.80
  6. Step 6: Final answer
    x = 126,106.04

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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.