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Finding the Fourth Proportional to 201,856.64, 278,562.32 and 117,022.88

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Solution

The fourth proportional to 201,856.64, 278,562.32 and 117,022.88 is: 161,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,856.64 : 278,562.32 = 117,022.88 : x
  2. Step 2: Convert to fraction form
    201,856.64/278,562.32 = 117,022.88/x
  3. Step 3: Cross multiply
    201,856.64x = 278,562.32 × 117,022.88
  4. Step 4: Simplify right side
    201,856.64x = 32,598,164,945.88
  5. Step 5: Solve for x
    x = 32,598,164,945.88/201,856.64
  6. Step 6: Final answer
    x = 161,491.67

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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.