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Finding the Fourth Proportional to 201,620.64, 302,409.36 and 61,380.48

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Solution

The fourth proportional to 201,620.64, 302,409.36 and 61,380.48 is: 92,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,620.64 : 302,409.36 = 61,380.48 : x
  2. Step 2: Convert to fraction form
    201,620.64/302,409.36 = 61,380.48/x
  3. Step 3: Cross multiply
    201,620.64x = 302,409.36 × 61,380.48
  4. Step 4: Simplify right side
    201,620.64x = 18,562,031,673.29
  5. Step 5: Solve for x
    x = 18,562,031,673.29/201,620.64
  6. Step 6: Final answer
    x = 92,064.14

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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.