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Finding the Fourth Proportional to 201,814.80, 303,748.26 and 152,145.60

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Solution

The fourth proportional to 201,814.80, 303,748.26 and 152,145.60 is: 228,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,814.80 : 303,748.26 = 152,145.60 : x
  2. Step 2: Convert to fraction form
    201,814.80/303,748.26 = 152,145.60/x
  3. Step 3: Cross multiply
    201,814.80x = 303,748.26 × 152,145.60
  4. Step 4: Simplify right side
    201,814.80x = 46,213,961,266.66
  5. Step 5: Solve for x
    x = 46,213,961,266.66/201,814.80
  6. Step 6: Final answer
    x = 228,991.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.