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Finding the Fourth Proportional to 201,783.60, 302,651.10 and 83,442.60

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Solution

The fourth proportional to 201,783.60, 302,651.10 and 83,442.60 is: 125,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,783.60 : 302,651.10 = 83,442.60 : x
  2. Step 2: Convert to fraction form
    201,783.60/302,651.10 = 83,442.60/x
  3. Step 3: Cross multiply
    201,783.60x = 302,651.10 × 83,442.60
  4. Step 4: Simplify right side
    201,783.60x = 25,253,994,676.86
  5. Step 5: Solve for x
    x = 25,253,994,676.86/201,783.60
  6. Step 6: Final answer
    x = 125,153.85

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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.