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Finding the Fourth Proportional to 125,194.32, 172,828.04 and 71,468.96

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Solution

The fourth proportional to 125,194.32, 172,828.04 and 71,468.96 is: 98,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,194.32 : 172,828.04 = 71,468.96 : x
  2. Step 2: Convert to fraction form
    125,194.32/172,828.04 = 71,468.96/x
  3. Step 3: Cross multiply
    125,194.32x = 172,828.04 × 71,468.96
  4. Step 4: Simplify right side
    125,194.32x = 12,351,839,704.26
  5. Step 5: Solve for x
    x = 12,351,839,704.26/125,194.32
  6. Step 6: Final answer
    x = 98,661.34

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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.