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Finding the Fourth Proportional to 201,986.70, 302,785.65 and 156,983.10

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Solution

The fourth proportional to 201,986.70, 302,785.65 and 156,983.10 is: 235,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,986.70 : 302,785.65 = 156,983.10 : x
  2. Step 2: Convert to fraction form
    201,986.70/302,785.65 = 156,983.10/x
  3. Step 3: Cross multiply
    201,986.70x = 302,785.65 × 156,983.10
  4. Step 4: Simplify right side
    201,986.70x = 47,532,229,972.52
  5. Step 5: Solve for x
    x = 47,532,229,972.52/201,986.70
  6. Step 6: Final answer
    x = 235,323.56

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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.