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Finding the Fourth Proportional to 173,134.80, 259,675.20 and 54,835.20

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Solution

The fourth proportional to 173,134.80, 259,675.20 and 54,835.20 is: 82,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,134.80 : 259,675.20 = 54,835.20 : x
  2. Step 2: Convert to fraction form
    173,134.80/259,675.20 = 54,835.20/x
  3. Step 3: Cross multiply
    173,134.80x = 259,675.20 × 54,835.20
  4. Step 4: Simplify right side
    173,134.80x = 14,239,341,527.04
  5. Step 5: Solve for x
    x = 14,239,341,527.04/173,134.80
  6. Step 6: Final answer
    x = 82,244.25

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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.