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Finding the Fourth Proportional to 201,227.68, 301,954.80 and 185,364.64

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Solution

The fourth proportional to 201,227.68, 301,954.80 and 185,364.64 is: 278,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,227.68 : 301,954.80 = 185,364.64 : x
  2. Step 2: Convert to fraction form
    201,227.68/301,954.80 = 185,364.64/x
  3. Step 3: Cross multiply
    201,227.68x = 301,954.80 × 185,364.64
  4. Step 4: Simplify right side
    201,227.68x = 55,971,742,798.27
  5. Step 5: Solve for x
    x = 55,971,742,798.27/201,227.68
  6. Step 6: Final answer
    x = 278,151.31

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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.