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Finding the Fourth Proportional to 202,544.60, 302,942.10 and 171,051.80

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Solution

The fourth proportional to 202,544.60, 302,942.10 and 171,051.80 is: 255,838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,544.60 : 302,942.10 = 171,051.80 : x
  2. Step 2: Convert to fraction form
    202,544.60/302,942.10 = 171,051.80/x
  3. Step 3: Cross multiply
    202,544.60x = 302,942.10 × 171,051.80
  4. Step 4: Simplify right side
    202,544.60x = 51,818,791,500.78
  5. Step 5: Solve for x
    x = 51,818,791,500.78/202,544.60
  6. Step 6: Final answer
    x = 255,838.92

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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.