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Finding the Fourth Proportional to 164,994.42, 247,522.41 and 75,043.65

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Solution

The fourth proportional to 164,994.42, 247,522.41 and 75,043.65 is: 112,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,994.42 : 247,522.41 = 75,043.65 : x
  2. Step 2: Convert to fraction form
    164,994.42/247,522.41 = 75,043.65/x
  3. Step 3: Cross multiply
    164,994.42x = 247,522.41 × 75,043.65
  4. Step 4: Simplify right side
    164,994.42x = 18,574,985,103.20
  5. Step 5: Solve for x
    x = 18,574,985,103.20/164,994.42
  6. Step 6: Final answer
    x = 112,579.47

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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.