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Finding the Fourth Proportional to 175,873.68, 263,782.95 and 55,914.90

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Solution

The fourth proportional to 175,873.68, 263,782.95 and 55,914.90 is: 83,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,873.68 : 263,782.95 = 55,914.90 : x
  2. Step 2: Convert to fraction form
    175,873.68/263,782.95 = 55,914.90/x
  3. Step 3: Cross multiply
    175,873.68x = 263,782.95 × 55,914.90
  4. Step 4: Simplify right side
    175,873.68x = 14,749,397,270.96
  5. Step 5: Solve for x
    x = 14,749,397,270.96/175,873.68
  6. Step 6: Final answer
    x = 83,863.58

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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.