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Finding the Fourth Proportional to 201,861.75, 278,569.22 and 117,028.02

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Solution

The fourth proportional to 201,861.75, 278,569.22 and 117,028.02 is: 161,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,861.75 : 278,569.22 = 117,028.02 : x
  2. Step 2: Convert to fraction form
    201,861.75/278,569.22 = 117,028.02/x
  3. Step 3: Cross multiply
    201,861.75x = 278,569.22 × 117,028.02
  4. Step 4: Simplify right side
    201,861.75x = 32,600,403,664.40
  5. Step 5: Solve for x
    x = 32,600,403,664.40/201,861.75
  6. Step 6: Final answer
    x = 161,498.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.