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Finding the Fourth Proportional to 172,342.40, 258,521.70 and 54,017.60

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Solution

The fourth proportional to 172,342.40, 258,521.70 and 54,017.60 is: 81,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,342.40 : 258,521.70 = 54,017.60 : x
  2. Step 2: Convert to fraction form
    172,342.40/258,521.70 = 54,017.60/x
  3. Step 3: Cross multiply
    172,342.40x = 258,521.70 × 54,017.60
  4. Step 4: Simplify right side
    172,342.40x = 13,964,721,781.92
  5. Step 5: Solve for x
    x = 13,964,721,781.92/172,342.40
  6. Step 6: Final answer
    x = 81,028.94

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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.