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Finding the Fourth Proportional to 202,031.64, 302,981.52 and 67,059.48

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Solution

The fourth proportional to 202,031.64, 302,981.52 and 67,059.48 is: 100,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,031.64 : 302,981.52 = 67,059.48 : x
  2. Step 2: Convert to fraction form
    202,031.64/302,981.52 = 67,059.48/x
  3. Step 3: Cross multiply
    202,031.64x = 302,981.52 × 67,059.48
  4. Step 4: Simplify right side
    202,031.64x = 20,317,783,180.81
  5. Step 5: Solve for x
    x = 20,317,783,180.81/202,031.64
  6. Step 6: Final answer
    x = 100,567.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.