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Finding the Fourth Proportional to 201,784.74, 302,572.01 and 75,320.99

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Solution

The fourth proportional to 201,784.74, 302,572.01 and 75,320.99 is: 112,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,784.74 : 302,572.01 = 75,320.99 : x
  2. Step 2: Convert to fraction form
    201,784.74/302,572.01 = 75,320.99/x
  3. Step 3: Cross multiply
    201,784.74x = 302,572.01 × 75,320.99
  4. Step 4: Simplify right side
    201,784.74x = 22,790,021,450.02
  5. Step 5: Solve for x
    x = 22,790,021,450.02/201,784.74
  6. Step 6: Final answer
    x = 112,942.24

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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.