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Finding the Fourth Proportional to 201,974.40, 302,961.60 and 83,606.40

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Solution

The fourth proportional to 201,974.40, 302,961.60 and 83,606.40 is: 125,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,974.40 : 302,961.60 = 83,606.40 : x
  2. Step 2: Convert to fraction form
    201,974.40/302,961.60 = 83,606.40/x
  3. Step 3: Cross multiply
    201,974.40x = 302,961.60 × 83,606.40
  4. Step 4: Simplify right side
    201,974.40x = 25,329,528,714.24
  5. Step 5: Solve for x
    x = 25,329,528,714.24/201,974.40
  6. Step 6: Final answer
    x = 125,409.60

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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.