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Finding the Fourth Proportional to 201,429.45, 301,652.10 and 151,237.80

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Solution

The fourth proportional to 201,429.45, 301,652.10 and 151,237.80 is: 226,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,429.45 : 301,652.10 = 151,237.80 : x
  2. Step 2: Convert to fraction form
    201,429.45/301,652.10 = 151,237.80/x
  3. Step 3: Cross multiply
    201,429.45x = 301,652.10 × 151,237.80
  4. Step 4: Simplify right side
    201,429.45x = 45,621,199,969.38
  5. Step 5: Solve for x
    x = 45,621,199,969.38/201,429.45
  6. Step 6: Final answer
    x = 226,487.24

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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.