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Finding the Fourth Proportional to 201,825.16, 278,506.50 and 116,927.56

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Solution

The fourth proportional to 201,825.16, 278,506.50 and 116,927.56 is: 161,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,825.16 : 278,506.50 = 116,927.56 : x
  2. Step 2: Convert to fraction form
    201,825.16/278,506.50 = 116,927.56/x
  3. Step 3: Cross multiply
    201,825.16x = 278,506.50 × 116,927.56
  4. Step 4: Simplify right side
    201,825.16x = 32,565,085,489.14
  5. Step 5: Solve for x
    x = 32,565,085,489.14/201,825.16
  6. Step 6: Final answer
    x = 161,352.95

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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.