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Finding the Fourth Proportional to 125,078.56, 172,584.40 and 84,825.12

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Solution

The fourth proportional to 125,078.56, 172,584.40 and 84,825.12 is: 117,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,078.56 : 172,584.40 = 84,825.12 : x
  2. Step 2: Convert to fraction form
    125,078.56/172,584.40 = 84,825.12/x
  3. Step 3: Cross multiply
    125,078.56x = 172,584.40 × 84,825.12
  4. Step 4: Simplify right side
    125,078.56x = 14,639,492,440.13
  5. Step 5: Solve for x
    x = 14,639,492,440.13/125,078.56
  6. Step 6: Final answer
    x = 117,042.38

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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.