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Finding the Fourth Proportional to 201,242.28, 301,873.76 and 51,483.87

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Solution

The fourth proportional to 201,242.28, 301,873.76 and 51,483.87 is: 77,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,242.28 : 301,873.76 = 51,483.87 : x
  2. Step 2: Convert to fraction form
    201,242.28/301,873.76 = 51,483.87/x
  3. Step 3: Cross multiply
    201,242.28x = 301,873.76 × 51,483.87
  4. Step 4: Simplify right side
    201,242.28x = 15,541,629,416.25
  5. Step 5: Solve for x
    x = 15,541,629,416.25/201,242.28
  6. Step 6: Final answer
    x = 77,228.45

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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.