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Finding the Fourth Proportional to 201,000.30, 301,730.85 and 117,941.10

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Solution

The fourth proportional to 201,000.30, 301,730.85 and 117,941.10 is: 177,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,000.30 : 301,730.85 = 117,941.10 : x
  2. Step 2: Convert to fraction form
    201,000.30/301,730.85 = 117,941.10/x
  3. Step 3: Cross multiply
    201,000.30x = 301,730.85 × 117,941.10
  4. Step 4: Simplify right side
    201,000.30x = 35,586,468,352.94
  5. Step 5: Solve for x
    x = 35,586,468,352.94/201,000.30
  6. Step 6: Final answer
    x = 177,046.84

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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.