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Finding the Fourth Proportional to 201,847.58, 302,807.02 and 83,452.58

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Solution

The fourth proportional to 201,847.58, 302,807.02 and 83,452.58 is: 125,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,847.58 : 302,807.02 = 83,452.58 : x
  2. Step 2: Convert to fraction form
    201,847.58/302,807.02 = 83,452.58/x
  3. Step 3: Cross multiply
    201,847.58x = 302,807.02 × 83,452.58
  4. Step 4: Simplify right side
    201,847.58x = 25,270,027,061.11
  5. Step 5: Solve for x
    x = 25,270,027,061.11/201,847.58
  6. Step 6: Final answer
    x = 125,193.61

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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.